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Statistics - Class 10 Maths - Extra Questions

For a certain frequency distribution, if median =156 and mode =180, then obtain the value of mean



Find the mean of the data whose median is 64 and mode is 45.



The demand of different shirt sizes, as obtained by a survey, is given. Calculate the Mode.
Size38394041424344
Number of persons(wearing it)274051161486



Find the mode for the following table.
Temperature in oC2932.434.636.938.740
Number of days726483



Find the mode for the following frequency table.
Wages(Rs.)250300350400450500
Number of workers101516121113



The Mean and Median of a Uni-modal grouped data are 36.5 and 38.5 respectively. Find the Mode of the data.



Four integers are added to a group of integers 3,4,5,5 and 8 and the mean, median, and mode of the data increases by 1 each. What is the greatest integer in the new group of integers?



Observations of a data are 16,72,0,55,65,55,10, and 41. Chaitanya calculated the mode and median without taking the zero into consideration. Did Chaitanya do the right thing?



If the mean of the following distribution be 50, then find the values of f1 and f2.
Class 0-20 20-40 40-60 60-80 80-100 Total
Frequency 17 28 f1 24 f2 120



Find the mode of the following data:
MarksBelow 10Below 20Below 30Below 40Below 50
No. of students820455870



Answer the following :
The median of 230 observation isFind a and b.
Class10-2020-3030-4040-5050-6060-7080-90
Frequency1230a65b2518



Find the mode for the following frequency distribution.
Class0100100200200300300400400500500600
Frequency646277626654



Find the mode of the following frequency distribution.
Age (years)1413121510
Numbers of students48729
Shirt size(cm)3836404244373441
Numbers of students712
18621438



Find the median of the following data.
x1020304050
f23231



The distribution of sale of shirts sold in a month in a departmental store is as under. Calculate the model class of shirts sold.

Size (in cms)80-8585-9090-9595-100100-105105-110110-115
No. of shirts sold3327851551104515



Calculate mode of the following data.
Marks 0-20 20-40
40-60 60-80
 80-100
Number of students8101263



The mode of the following data isFind the missing frequency \chi in it.
CLASS0-1010-2020-3030-4040-5050-6060-70
FREQUENCY810\chi
161267



Calculate the missing frequency from the following distribution, it being given that the median of the distribution is 24.
Class0-1010-2020-3030-4040-50
Frequency525?187



The sum of squares of deviations for 10 observations taken from mean 50 is 250. The co-efficient of variations is 



The production of electric bulbs in different factories is shown in the following table. Find the median of the productions.
No. of bulbs produced (Thousands)30-4040-5050-6060-7070-8080-9090-100
No. of factories12352015878



Find the mean of the following data 30, 32, 24, 34,28, 30, 35, 33, 25
(i) Show that the sum of the deviations of all the given observations from the mean is zero.
(ii) Find the median of the given data. 



Find the median of the following data:
Class interval0 - 2020 - 4040 - 6060 - 8080 - 100100 - 120120 - 140
Frequency681012653



Finding median  graphically for the following grouped data ?
Class Interval Frequency
0-503
5-1006
10-1511
15-2008
20-2506



The following table given the weekly wages (in Rs.) of workers in a factory:
Weekly wages (in Rs.)50-5555-6060-6565-7070-7575-8080-8585-90
No. of workers520101096128
Calculate:
the modal class.



If mean = 60 and median = 50, then find mode using empirical relationship.



The weights (in kilograms) of ten puppies from the same litter are recorded below:
1.23 \,\,\,\,1.42  \,\, \,\,  2.01 \,\, \,\, 1.56 \,\,   \,\,1.66\,\,\,\,\, 0.92   \,\, \,\,1.38 \,\,   \,\,1.44  \,\, \,\, 1.52    \,\, \,\,1.48
Calculate: the median weight



Find the mode when median is 12 and mean is 16 of a data.



Find the mode
Marks1-56-1011-1616-2021-25
No. of Students71063224



Find the mode of the following distribution
Marks in Mathematics  4560809095100
Number of students5156464



Find the mode of the following distribution
Size of shoes 678910
Number of student1015942



The following table shows the difference of the ages 20 couples. Find the mean by direct method.
Difference in ages (in years)0-22-44-66-88-1010-12
No. of couples128531



The following table shows the ages of the patients admitted in a hospital during a year:
Age(in years )5-1515-2525-3535-4545-5555-65
Number of patients6112123145

Find the mode and the mean of the data given above. Compare and interpret the two measure of central tendency.



Find the median :
WeightNo of students
40-452
45-503
50-558
55-606
60-656
65-703
70-752



Find the mode of 
Class0-55-1010-1515-2020-25
Frequency231014



The following table shows the number of workers in a factory and their daily wages. Find the median of the daily wages.
Daily wages(Rupees)100-110110-120120-130130-140140-150150-160
No. of workers 373840332824



Find the mode of following data:

CI5-1515-2525-3535-4545-5555-65
f6112123145



Find the mode of the following distribution:
Height(in cm)30-4040-5050-6060-7070-8080-90
No. of plants4381162



Find the mode of the following distribution

Height (in inches)60616263646566
Number of children0106418102



Find the median marks for the following.
Marks25-3535-4545-5555-6565-7575-85
No. of students7313018122



Find the median of the following data:
monthly consumption no. of consumers
Below 85 4
Below 1059
Below 12522
Below 14542
Below 16556
Below 18564



Find the mode of the following frequency distribution.
Class0-1010-2020-3030-4040-5050-6060-70
Frequency81010161267



Write the formula to find the median of a grouped data and explain the alphabet in it.



Find the median of the following data
3,1,5,6,3,4,5



A survey conducted on 20 household in a locality by a group of statement resulted in the following frequency table for the number of family
Members in a house hold.
\text {Family}   \,\text {size}1-33-55-77-99-11
\text {Number}\,    \,of\, \text {families}78221
Find the mode of the data.



If the mode of a distribution is 8 and mean is also 8, then find median.



If median = 137 units and mean = 137.05 units, then find the mode.



Find the mean of the following frequency distribution:
Class0-2020-4040-6060-8080-100
Frequency1518212917



The following data gives the information on the observed lifetimes (in hours) of 225 electrical components:
Lifetimes (in hours)0-2020-4040-6060-8080-100100-120
Frequency103552613829
Determine the modal lifetimes of the components.



Write the modal class for the following frequency distribution:
Class interval10-20
20-3030-4040-5050-6060-70
Frequency333865521948



A data constitutes of heights (in cm) of 50 children. What do you understand by mode for the data?



Find the mean of the following frequency distribution:
Class 25-2930-3435-3940-4445-49550-54555-59
Frequency1422166534



Find the median class of the following distribution:
Class0-1010-2020-3030-4040-5050-6060-70
Frequency448101284



Find the mean of the following frequency distribution:
Class interval50-6060-7070-8080-9090-100
Frequency86121113



Find the mean of the following frequency distribution:
Class interval15-2525-3535-4545-5555-65
Frequency6035221815



Find the mean of the following data:
Classes0-100100-200200-300300-400400-500
Frequency6915128



Find the mean of the following data:
Classes0-1010-2020-3030-4040-50
Frequency35953



A hockey player has scored the following number of goals in 9 matches.$$5, 4, 0, 2, 2, 4, 4, 3, 3$$.Find the mean, median, and mode of the data.



The arithmetic mean of the following frequency distribution is 25.Determine the value of p:
Class
0-10
10-20
20-30
30-40
40-50
Frequency
7
8
p
15
4



Class Interval
0-6
6-12
12-18
18-24
24-30
Frequency
6
8
10
9
7
If mean of above  distribution  is 15.45 , If true then enter 1 and if false then enter 0



Calculate the missing frequency f from the following distribution, it is being given that the median of the distribution is 24.
Class
0-10
10-20
20-30
30-40
40-50
Frequency
5
25
f
18
7



Find the median for the following frequency distribution:
Class Interval
0-10
10-20
20-30
30-40
40-50
50-60
Frequency
6
9
14
2
19
10



Find the median for the following frequency distribution:

Class Interval
25-35
35-45
45-55
55-65
65-75
Frequency
20
25
5
7
4
Give answer upto the nearest integer value.



The.following table gives the distribution of IQ of 100 students. Find the median IQ.
IQ
Frequency
75-84
8
85-94
11
95-104
26
105-114
31
115-124
18
125-134
4
135-144
2




Find the median from the following data:
Class groups
Frequency
110-120
6
120-130
25
130-140
48
140-150
72
150-160
116
160-170
60
170-180
38
180-190
22
190-200
3
mean is 153.8
If true then enter 1 and if false then enter 0



The following table gives the marks obtained by 50 students in a class test :
Marks
No. of students
11-15
2
16-20
3
21-25
6
26-30
7
31-35
14
36-40
12
41-45
4
46-50
2
Find the median



Find the value of, the missing frequency, If the mean of the following distribution is 67.
Class Interval
Frequency
25-35
10
35-45
6
45-55
4
55-65
f
65-75
4
75-85
12
85-95
26
Mean is 23.71
If true then enter 1 and if false then enter 0



Calculate the mode for the following frequency distribution.
Class
Frequency
0-10
5
10-20
8
20-30
7
30-40
12
40-50
28
50-60
20
60-70
10
70-80
10
mode is 4.67
If true then enter 1 and if false then enter 0



Compute the mode of the following data:
Class Interval
Frequency
1-5
3
6-10
8
11-15
13
16-20
18
21-25
28
26-30
20
31-35
13
36-40
8
41-45
6
46-50
4
Mode 23.22.
If true then enter 1 and if false then enter 0



The following frequency distribution gives the monthly consumption of electricity of 68 consumers of a locality. Find the median, mean and mode of the data and compare them.
Monthly consumption (in units)
Number of consumers
65-85
4
85-105
5
105-125
13
125-145
20
145-165
14
165-185
8
185-205
4



The following number of goals were scored by a team in a series of 10 matches:
2,3,4,5,0,1,3,3,4,3
Find the mean, median and mode of these scores.



The following table shows the ages of the patients admitted in a hospital during a year.
Age (in years)
No. of patients
5-15
6
15-25
11
25-35
21
35-45
23
45-55
14
55-65
5
Find the mode and the mean of the data given above. Compare and interpret the measures of central tendency.



If the mode of the following distribution is given by M, then find the value of a nearest integer.
Daily Wages31 - 3637 - 4243 - 4849 - 5455 - 6061 - 66
No.of workers612201594



The following table shows the age distribution of cases of a certain disease admitted during a year in a particular hospital
Age (in Years)5 - 1415 - 2425 - 3435 - 4445 - 5455 - 64
No. of Cases6112123145
Find the nearest integer to the modal age.



The daily wages (in rupees) of 100 workers in a factory are given below
Daily wages (in Rs.)125130135140145150160180
No. of workers620242815421
Find the median wages of a worker (in the nearest integer value).



Calculate the median for the following distribution class
Class0 - 1010 - 2020 - 3030 - 4040 - 5050 - 60
Frequency51020785



If the median of the following frequency distribution is 46. find the absolute difference of missing frequencies
Variable10-2020-3030-4040-5050-6060-7070-80Total
Frequency1230f_{1}65f_{2}2518229



Calculate the median from the following distribution
Class5-1010-1515-2020-2525-30
Frequency471094



Calculate the mean deviation about median age for the age distribution of 100 persons given below :
AgeNumber
16-205
21-256
26-3012
31-3514
36-4026
41-4512
46-5016
51-559



Find the mean deviation about the median for the data
\displaystyle  X_{i}  1521273035
\displaystyle  f_{i}  35678



Find the mean deviation about the median for the data
\displaystyle  x_{i}  579101215
\displaystyle  f_{i}  862226



Find the mean deviation about median for the following data:
MarksNumber of girls
0-106
10-208
20-3014
30-4016
40-504
50-602



Find the median for the following frequency distribution table:
Class-interval0-55-1010-1515-2020-2525-30
Frequency5391085



Marks scored by Hari in 5 test (out of 25 marks) are given:
24, 22, 23, 23, 25. Find his average score



Find the median for the following frequency distribution table:
Class Intervals110-119120-129130-139140-149150-159160-169
Frequency68151065



If the mean of the following frequency distribution is 7.2 find value of 'K'.
x24681012
f471016K3



The heights of boys and girls of IX class of a school are given below.
Height (cm)135140147152155160
Boys25121071
Girls1210565
Compare the average heights of the boys and girls.



Find the mean for the given frequency distribution table.
Class - IntervalFrequency
0 - 43
5 - 95
10 - 147
15 - 194
20 - 246
N = 24



Calculate the median for an exclusive (continuous) distribution given below.
Class IntervalFrequency
10 - 2011
20 - 3013
30 - 4013
40 - 509
50 - 604
 



Find the median for the following grouped data.
Class - IntervalFrequency
1 - 54
6 - 103
11 - 156
16 - 205
21 - 252
N = 20



Weights of parcels in a transport office are given below.
Weight (kg)50657590110120
No of parcels253438404716
Find the mean weight of the parcels.



The maximum bowling speed (km/hr) of 33 players at a cricket coaching centre is given below:
Bowling Speed (km/hr)85-100100-115115-130130-145
Number of players91185
Find the modal bowling speed (in km/hr) of players.



Find the mode and median of the following frequency distribution:
x101112131415
f147598



For a certain frequency distribution, the value of Mean is 101 and Median is 100. Find the value of Mode.



The weight of coffee (in gms) in 70 packets is given in the following table.
Weight (in gms)    No. of Packets
200-20112
201-20226
202-20320
203-2049
204-2052
205-2061
Hence determine the modal weight of coffee packet.



The marks obtained by 30 students in a class assessment of 5 marks is given below :
Marks012345
Number of Students1361055
Calculate the mean, median and mode of the above distribution.



(Use a graph paper for this question.) The daily pocket expenses of 200 students in a school are given below:
Pocket expenses (in Rs)0 - 55 - 1010 - 1515 - 2020 - 2525 - 3030 - 3535 - 40
Number of students (frequency)1014284250301412
Draw a histogram representing the above distribution and estimate the mode from the graph.



The table shows the distribution of the scores obtained by 160 shooters in a shooting competition. Use a graph sheet and draw an ogive for the distribution.
ScoresNo. of shooters
0-109
10-2013
20-3020
30-4026
40-5030
50-6022
60-7015
70-8010
80-908
90-1007
Use your graph to estimate the median.



 Age (in years) 10-2020-30 30-40 40-50 50-60 60-70 
 No. of patients6042 55 70 53 20 
The following table shows ages of 300 patients getting medical treatment in a hospital on a particular day. Find the median.



Find the mode of the following data.
1) 74, 81, 62, 58, 77, 74.
2) 43, 36, 27, 25, 36, 66, 20, 25.
3) 55, 51, 62, 71, 50, 32.
4) 24, 20, 27, 32, 20, 28, 20.



Calculate the arithmetic mean by assumed mean method for the data given below.
Marks0-1010-2020-3030-4040-5050-60
No. of students   5   10   25   30   20   10



Find the mode for the following frequency table.
x51015202530
f1425371685



Obtain the mean of the following data.
x510152025
f3102575



Find the median for marks of 50 students.
Marks20273443586589
Number of students246111287



From the following table compute arithmetic mean by direct method.
Marks0-1010-2020-3030-4040-5050-60
No. of students   5   10   25   30   20   10



The mean mark of 100 students was found to be 40. Later on, it was found that a score of 53 was misread as 83. Find the correct mean corresponding to the correct score.



The hearts of 60 patients were examined through X-ray and the observations obtained are given. Find the median.
Diameter of heart(in mm)130131132133134135
Number of patients791512611



The height (in cm) of 50 students in a particular class are given. Find the median.
Height (in cm)156155154153152151150
Number of students846101237



The salary of 43 employees are given in the following table. Find the median. 
Salary (in Rs)400055006000825010,00017,00025,000
Number of employees75431383



Calculate the mode of the following data.
Size of item10-1515-2020-2525-3030-3535-4040-4545-50
No. of items   4   8   18   30   20   10   5   2



Find the median for the following distribution.
Value123456
   f132482



A shoe shop in Chennai sold hundred pairs of shoes of a particular brand in a certain day with the following distribution.
Size of shoe45678910
No. of pairs sold2532339271
Find the mode of the following distribution.



Calculate the median for the following data.
Marks20925504080
No. of students  6  4  16  7  8  2



Find the median for the following distribution.
Wages (Rupees in hundreds)0-1010-2020-3030-4040-50
No. of workers  22  38  46  35  20



Calculate the mode of the following data.
Size of shoe45678910
No. of pairs sold15171321181611



The following table gives the distribution of the average weekly wages of 800 workers in a factory. Calculate the median for the data given below.
     Wages
( in hundreds)
20-2525-3030-3535-4040-4545-5050-5555-60
No. of persons   50   70   100   180   150   120   70   60



Calculate the median for the following data
Class interval1 - 56 - 1011 - 1516 - 2021 - 2526 - 3031 - 35
Frequency   1   18   25   26   7   2   1



Find the median for the following data.
Age group0-910-1920-2930-3940-4950-5960-69
No. of persons   4   6   10   11   12   6   1



Find the median for the following data.
  Marks11-1516-2021-2526-3031-3536-40
Frequency   7   10   13   26   9   5



The following is the distribution of the size of certain farms from a taluka (tehasil). Find median size of farms.
Size of Farms(in acres)
Number of Farms
5-15
7
15-25
12
25-35
17
35-45
25
45-55
31
55-65
5
65-75
3



Find the median of the following frequency distribution
Class4-8  8-12 12-16 16-20 20-24 24-28
Frequency916127151



In Hostel, one day reading hours of 20 students was observed, whose result is mentioned in the table below. Form the table, find the Mode.
No. of reading hours1-33-55-77-99-11
Student's strength in the hostel72821



Find the median of the following frequency distribution:
Class0-100100-200200-300300-400400-500500-600
Frequency646284726652



Find the mean, mode and median of marks obtained by 20 students in an examination. The marks are given below.
Marks0-1010-2020-3030-4040-50
No. of students   1   4   5   8   2



Find the mode for the following frequency distribution.
Class4-88-1212-1616-2020-2424-28
Frequency96127153



The age (in years) of 150 patients getting medical treatment in a hospital in a month are given below. Obtain its mode.
Age (yrs)10-2020-3030-4040-5050-6060-70
No. of patients121436502018



For the following data obtain the mode.
Weight (in kg)21-2526-3031-3536-4041-4546-5051-5556-60
No. of students54318201483



The cumulative frequency "more than type" is given in the following table.
Find the median of the following data.
Wages\geq 0\geq 50\geq 100\geq 150\geq 200\geq 250
Cumulative Frequency90806030150



Find the Median from the following table-
Class Interval0-2020-4040-6060-8080-100
Frequency1017262215



The table below shows the number of workers doing various jobs in a factory and their daily wages.
Daily wages (Rupees)Number of workers
2254
2507
2709
3005
3503
4002
What is the mean daily wage? 



The table below shows the classification of people, participated in a medical camp, according to their weights.
Weight (in kilogram)Number of people
20-3016
30-4021
40-5028
50-6024
60-7011
Calculate the mean weight.



Find the mode of the given data:

Class20-2930-3940-4950-5960-69
Frequency1520503010



The table below shows the number of students in the Maths Club of a school, classified according to their heights.
Height (cm)Number of students
110-1204
120-133024
130-14020
140-15032
150-16020
Calculate the mean height.



The scores obtained by 50 students in an examination is tabulated as shown below.
ScoreNumber of students
below 103
below 207
below 3013
below 4022
below 5032
below 6040
below 7046
below 8050
Find the median score.



Find the mode of the following frequency table:
Class IntervalFrequency
140-1504
150-1606
160-17010
170-18012
180-1909
190-200 3



Following are marks obtained in Mathematics by students of Class X.
Marks obtained0-1010-2020-3030-4040-5050-6060-70
No. of students21012151384
Find the median of the marks obtained in Mathematics.



If median of the following frequency distribution is 35 then find the value of x. 
Class interval0-1010-2020-3030-4040-5050-6060-70
Frequency23x6532



Find mode for given data:
Class20-2930-3940-4950-5960-69
Frequency 1520503010



The table below shows the daily expenditure on food of 25 households in a locality.
Daily expenditure (in Rs.)100-150150-200200-250250-300300-350
Number of households:451222
Find the mean daily expenditure on food by a suitable method.



The marks obtained by 50 students of class 10 out of 80 marks are given in the following frequency distribution. Find the median.
Class0-1010-2020-3030-4040-5050-6060-7070-80
Frequency258169532



Calculate the median of the following frequency distribution.
class f
5-1049
10-15133
15-2063
20-2515
25-306
30-357
35-404
40-452
45-50 1



Compute the median for each of the following data:
(i)MarksNo. of students    (ii)MarksNo. of students
Less than 10         0More than 150            0
Less than 30    10More than 140     12
Less than 50     25More than 130     27
Less than 70    43More than 120     60
Less than 90    65More than 110     105
Less than 110    87More than 100     124
Less than 130    96More than 90     141
Less than 150   100More than 80      150



Calculate the missing frequency from the following distribution, it being given that the median of the distribution is 24.
Age in years0-1010-2020-3030-4040-50
No. of persons525?187



The following table gives the literacy rate (in percentage) of 35 cities. 
Class interval45-5555-6565-7575-8585-95
No. of cities3101183
Find the mean literacy rate.



The following is the distribution of height of students of a certain class in a certain city:
Height (in cms):160-162163-165166-168169-171172-174
No. of students:1511814212718
Find the median height.



Following is the distribution of I.Q. of 100 students. Find the median I.Q.
I.Q.55-6465-7475-8485-9495-104
105-114115-124125-134135-144
No. of
students
129223322821



To find out the concentration of {SO}_{2} in the air (in parts per million, i.e., ppm), the data was collected for 30 localities in certain city and is presented below:
Concentration of {SO}_{2}(in ppm)Frequency
0.00-0.044
0.04-0.089
0.08-0.129
0.12-0.162
0.16-0.204
0.20-0.242
 Find the mean concentration of {SO}_{2} in the air.



Calculate the median from the following data:
Rent In Rs.15-2525-3535-4545-5555-6565-7575-8585-95
No. of Houses81015254020157



A class teacher has the following absentee record of 40 students of a class for the whole term. Find the mean number of days a student was absent.
Number of days:0-66-1010-1414-2020-2828-3838-40
Number of students:111074431



The following table gives the frequency distribution of married women by age at marriage:
Age (in years)FrequencyAge (in years)Frequency
15-195340-449
20-2414045-495
25-299850-543
30-343255-593
35-391260 and above2
Calculate the median and interpret the results.



Calculate the median from the following data:
Marks below:1020304050607080
No. of students1535608496127198250



For the following grouped frequency distribution find the mode:
Class:3-66-99-1212-1515-1818-2121-24
Frequency:25102321123



The given distribution shows the number of runs scored by some top batsmen of the world in one-day international cricket matches.
Runs scoredNumber of batsmanRuns scoredNumber of batsman
3000-400047000-80006
4000-5000188000-90003
5000-600099000-100001
6000-7000710000-110001
find the mode of the data.



Compute the value of mode for the following frequency distribution.
Class:100-110110-120120-130130-140140-150150-160160-170
Frequency:4620323382



If the mean of the following distribution is 6, find the value of p.
x:24610p+5
f:32312



A student noted the number of cars passing through a spot on a road for 100 periods each of 3 minutes and summarised it in the table given below. Find the mode of the data
Number of cars0-1010-2020-3030-4040-5050-6060-7070-80
Frequency71413122011158



{1, 2, 3, 6, 8} is a set of five positive integers whose mean is 4 and median isWrite down two other sets of five positive integers, each having the same mean and median as this set.



Compute the mode for the following frequency distribution: 
Size of items:0-44-88-1212-1616-2020-2424-2828-3232-3636-40
Frequency:5791712106310



The table below
shows the daily expenditure on food of 30 households in a locality


Daily expenditure (in Rs.)



 100 -150



 150 - 200



 200 - 250



 250 - 300



 300 - 350



No. of households



6



7



12



3



2


Find the mean and the median daily expenditure on food.



Calculate the median from the following data:
Marks:0-1010-3030-6060-8080-90
No. of students:5153082



Find mode for the following data.
Employees salary0-1010-20 20-3030-4040-5050-6060-7070-80
No. of employees10121889564



Weight of 40 eggs were recorded as given below
Weight in grams85-9090-9595-100100-105105-110
Number of eggs4121482
Find the modal weight.



The height (in cm) of the volly ball players from term A and B were recorded as 
Team A:180,178,176,181,190,175,187
,Team B: 174,175,190,179,178,185,177.
Which team had the greater average height?
Find the mediam of team A and Team B



Find the mean, median and mode of the given data
No. of Centuries510152025
No. of Cricketers562339138



Find the mode for the following data: (4 and 5)
Class0-77-1414-2121-2828-3535-4242-4949-56
Area2631354282715419



Write the formula to find median from grouped frequency distribution



Weekly income of 600 families is given below. Find the median.
Income in Rs.0-10001000-20002000-30003000-40004000-50005000-6000
Frequency25019010040155



Class IntervalFrequency
1 - 53
6 - 108
11 - 1513
16 - 2018
21 - 2528
26 - 3020
31 - 3513
36 - 408
41 - 456
46 - 504 
Compute the mode of the given data.



The following data gives the distribution of total monthly household expenditures of 200 families of a village. Find the modal monthly expenditure of the families. Also, find the mean monthly expenditure.

Expenditure (In Rs)Number of families
1000-150024
1500-200040
2000-250033
2500-300028
3000-350030
3500-400022
4000-450016
4500-50007



The lengths of 40 leaves of a plant are measured correct to the nearest millimetre, and the data obtained is represented in the following table:
Length (in mm)
Number of leaves
118-126
127-135
136-144
145-153
154-162
163-171
172-180
3
5
9
12
5
4
2
Find the median length of the leaves. 



A student noted the number of cars passing through a spot on a road for 100 periods each of 2 minutes and complied data in the following table : 
Number of cars0-1010-2020-3030-4040-5050-6060-7070-80
Number of period7x1315y10148
Find the missing frequencies x and y, if the mode of the data is given to be 44.



The age group and number of persons, who donated blood in a blood duration camp is given. Find the mode of ages of persons.
Age group(years)20-2525-3030-3535-40
No. of persons60803525



Find the mode of the following distribution table:
Class Interval 0 - 1010 - 2020 - 3030 - 4040 - 5050 - 6060 - 7070 - 80
Frequency 71413122011158



Find the mode of the following frequency distribution of marks obtained by 50 students.
Marks obtained0 - 1010 - 2020 - 3030 - 4040 - 50
No. of students51220103



Calculate mean deviation about Median for the following data :
Class0-1010-2020-3030-4040-5050-60
Frequency67151642



Mode of the following data.
Interval0-2020-4040-6060-8080-100
Frequency6812106



The median of 230 observations of the following frequency distribution is 46. Find a and b:
Class10-2020-3030-4040-5050-6060-7070-80
Frequency1230a65b2518



Find median:
Wages per day384548556265
Cumulative figure142229394547



Find the mode of given data. 
Marks0-1010-2020-3030-4040-50
Frequency2024403620



Monthly expenditure of milk of 100 families in a housing society are given in the following frequency distribution
Monthly expenditure(in)0-175175-350350-525525-700700-875875-10501050-1225
Number of families101415212875
Find the mode and the median for this distribution.



The following frequency distribution table shows the number of mango trees in a grove and their yield of mangoes, and also the cumulative frequencies. Find the median of the data.
Class
(No. of mangoes)
Frequency
(No. of trees)
Cumulative frequency
(less than)
50-1003333
100-1503063
150-20090153
200-25080233
250-30017250



If the median for the following frequency distribution is 28.5, find the values of x and y.
Class Intervalsfrequency
0-105
10-20x
20-3020
30-4015
40-50y
50-605
Total60



The following data gives the information of life of 300 electric bulbs (in Hours)




















Life (in Hrs.)



0-20



20-40



40-60



60-80



80-100



100-120



No. of electric bulbs



31



36



38



42



82



71


Find the modal life of the electric bulbs.



The given distribution shows the number of wickets taken by bowlers in inter-school competitions: 
Find the median.

1187325_c33860555aa843f99c4db7eeb0e088b1.png



Monthly expenditures on milk in 100 familes of a housing is given in the table. 
Monthly expenditure (in Rs)0-175175-350350-525525-700700-875875-10501050-1225
Number of familes101415212875
Find the mean, mode and median for this distribution  



Determine the mean, mode and the median of the data:
23,2,42,6,36,11,29,9,15



For the following distribution:
MarksBelow
10
Below
20
Below
30
Below
40
Below
50
Below
60
No. of students31227577580
Find the median class.



During the medical checkup of 35 students of a class, their weights were recorded as followings:
Weight (in kg)Number of student
Less than 38
Less than 40
Less than 42
Less than 44
Less than 46
Less than 48
Less than 50
Less than 52
0
3
5
9
14
28
32
35
Draw a less than type 0 give for the given data.Hence obtain the weight from



Find the mode of the data given below:
1215354_ab0176a4728844559d9bc6497489e807.jpg



The median of the data  
Mid value 115125135145155165175185195
Frequency62548721166038223



Find the median if total students are 40
Weight454647484950515253
Median 6 23474743



Find the mean, median and mode of the following distribution : 8, 10, 7, 6 , 10, 11, 6, 13, 10



Marks obtained by 50 students in a unit test are given below:
Marks0-2020-4040-6060-8080-100
Numbers of students61117124
Calculate the median marks.



Incomes of the families in a locality are given. Find the mode of the data.
Income (in Rs.)1 - 200201 - 400401 - 600600 - 800801 - 1000
Number of families71016123



Size of the agriculture holding in a survey of 200 families is given in the following table:
Size of 
Agriculture
0-55-1010-1515-2020-2525-3030-35
Number of family 1015308040205
Complete median and mode size of the holdings.



Find the median for the following frequency distribution table : 
Class- interval0 - 55 - 1010 - 1515 - 20 20 - 25 25 - 30
frequency 5391085



The following are the marks of 9 students in the class. Find the median 
34,32,48,38,24,30,27,21 and 35



The table below shows the members in "Stree-Sakti Kudambasree" Sorted according to their ages.
Age groupNumber of members
20-304
30-40     8
40-5010
50-607
60-704
70-802
Total35
a. If the members are arranged in increasing order of gas, the member at what position is taken as media?
b. What is assumed to be age of the member at the 13th position?
c. Find the median of the ages.



Heights of the pupils of a particular school are given. Draw greater than cumulative curve and find the median height from it.
Height (in cm)90-100100-110110-120120-130130-140140-150
Number of pupils523886



Find the mean and median for the following data:
i) 13 , 17 , 16 , 14 , 11 , 13 , 10 , 16 , 11 , 18 , 12 , 17
ii) 36 , 72 , 46 , 42 , 60 , 45 , 53 , 46 , 51 , 49



Find the mode of the following data.

1567532_e07be89b519a4601b35a1719c5f433e0.PNG



Find the mean of the following distribution :
x :1012202535
f :3101575



Find the mean of the following data:
x_i19212325272931
f_i13151618161513



The ages (in years) of 50 students of a class in a school are below:
Age (in years):1415161718
Numbers of students:15141083
Find the mean age. (in years)



Find the mode of the following data:
Class:0-2020-4040-6060-8080-100100-120120-140
Frequency:681012653



Solve the following :
If L = 10 , f_1 = 70 , f_0 = 58, f_2 = 42, h = 2, then find the mode by using formula.



Find the mode of the following frequency distribution:
Marks10-2020-3030-4040-5050-60
Frequency1235452513



Find mode for given data:
Class20-2930-3940-4950-5960-69
Frequency1520503010



Calculate the mean for the following distribution :
x :56789
f :4814113



The following tables shows the daily wages of works in a factory:
Daily wages (in Rs)0-100100-200200-300300-400400-500
Number of workers403248228

Find Median daily wages.



Given below is the distribution of total household expenditure of 200 manual workers in a city:
Expenditure (in Rs)1000-\\ 15001500-\\ 20002000-\\ 25002500-\\ 30003000-\\ 35003500-\\ 40004000-\\ 45004500-\\ 5000
No. of manual workers244031283223175
Find Mode.



Compute the mode of the following data:
Class0-2020-4040-6060-8080-100
Frequency 251628205



Find the mode of the following distribution:
Class interval10-1414-1818-2222-2626-3030-3434-3838-42
Frequency8611202522104



Calculate the median from the following frequency distribution:
Class 5-1010-1515-2020-2525-3030-3535-4040-45
Frequency 5615105422



Compute the median from the following data:
Marks0-77-1414-2121-2828-3535-4242-49
Number of students347110169



In a hospital, the ages of diabetic patients were recorded as follows. Find the median age.
Age (in year)0-1515-3030-4545-6060-75
Number of patients520405025



Find the mean, mode and median of the following data:
Marks obtained25-3535-4545-5555-6565-7575-85
Number of students7313317111



Given bellows is the number of units of electricity consumed in a week in a certain locality: 
Consumption (in unit)65-8585-105105-125125-145145-165165-185185-205
Number of consumers4513201474

Find Median value of Electricity Consumption.



Calculate the median from the following data:
Height (in cm)135-140140-145145-150150-155155-160160-165165-170170-175
No of boys6101822201563



A survey reading the heights (in cm) of 50 girls of a class was conducted and the following data was obtained:

Height (in cm)120-130130-140140-150150-160160-170Total
Number of girls281220850
Find the mean, median and mode of the above data.



If the median of the following frequency distribution is 32.5, find the values of f1 and f2.
Class interval0-1010-2020-3030-4040-5050-6060-70Total
Frequencyf_15912f_23240



Calculate the mean and the median of the numbers: 2, 1, 0, 3, 1, 2, 3, 4, 3, 5.



The mean of the numbers 1, 7, 5, 3, 4, and 4 is m. The numbers 3, 2, 4, 2, 3, 3, p have mean m-1 and median q. Find:
(i) p
(ii) q
(iii) the mean of p and q.



At a shooting competition, the scores of a competitor were as given below :

Score

0

1

2

3

4

5

No. of shots

0

3

6

4

7

5

What was his total score?



State the modal class.

Class interval

50-55

55-60

60-65

65-70

70-75

75-80

80-85

85-90

Frequency

5

20

10

10

9

6

12

8



At a shooting competition, the scores of a competitor were as given below :

Score

0

1

2

3

4

5

No. of shots

0

3

6

4

7

5

What was his modal score?



For the given data below, calculate the mean, mode, and median.
6,2,5,4,3,4,4,2,3



Find the median of the given data if the mean is 4.5
5,7,7,8,x,5,4,3,1,2



A die was thrown 15 times and the outcomes recorded were
5,3,4,1,2,6,4,2,2,3,1,5,6,1,2
Find the mean, median and mode of the data.



Calculate the Mean, Median and Mode of the following data:
5,10,10,12,13
Are these three equal?



In calculating the mean of grouped data, grouped in classes of equal width, we may use the formula
                     \overline{x}=a+ \dfrac{f_i d_i}{f_i}
where a is the assumed mean. a must be one of the mid-points of the classes. Is the last statement correct? Justify your answer.



The monthly income of 100 families are given as below:
Income (in Rs)Number of families
0-50008
5000-1000026
10000-1500041
15000-2000016
20000-250003
25000-300003
30000-350002
35000-400001
Calculate the modal income.



The daily income of a sample of 50 employees are tabulated as follows:
Income (in Rs)1-200201-400401-600601-800
Number of employees1415147
Find the mean daily income of employees.



Calculate the mean of the following data:
Class4-78-1112-1516-19
Frequency54910



In calculating the mean of grouped data, grouped in classes of equal width, we may use the formula
  \overline{x}=a+ \dfrac{f_i d_i}{f_i}
where a is the assumed mean. a must be one of the mid-points of the classes. Is the last statement correct? Justify your answer.



The weights (in kg) of 50 wrestlers are recorded in the following table:
Weight (in kg)100-110110-120120-130130-140140-150
Number of wrestlers4142183
Find the mean weight of the wrestlers.



Calculate the mean, the median and the mode of the following numbers:
3, 7, 2, 5, 3, 4, 1, 5, 3, 6



Calculate the mean, the median and the mode of the numbers:
1, 3, 2, 6, 2, 3, 1, 3



Will the median class and modal class of grouped data always be different? Justify your answer.



Find the mean and the median of the following data:
5, 3, 12, 0, 7, 11, 4, 3, 9



Find the mean and the median of :
10,12,12,15,15,17,18,18,18 and 19



Find the mean and the median of :
1,3,4,5,9,9, and 11



Find the mean and the median of :
1.2,1.9,2.2,2.6 and 2.9



Find the mean and the median of :
5,8,10,11,13,16,19 and 20



The mean of 1, 7, 5, 3, 4 and 4 is m. The numbers 3, 2, 4, 2, 3, 3 and p have mean m 1 and median q. Find p and q



Find the median of the given data.



The marks of 20 students in a test were as follows:
2, 6, 8, 9, 10, 11, 11, 12, 13, 13, 14, 14, 15, 15, 15, 16, 16, 18, 19 and 20.
Calculate:
(i) the mean (ii) the median (iii) the mode



A frequency distribution table for the production of oranges of some farm owners in given below. Find the mean production of oranges by 'assured mean' method.
Production (Thousand rupees)25 - 3030 - 3535 - 4040 - 4545 - 50
No of farm owners20251510 10



Find the mean and the median of all the positive factors of 72.



Find the mean and median of the data:
35, 48, 92, 76, 64, 52, 51, 63 and 71.
If 51 is replaced by 66, what will be the new median?



Find the mean and median of the data:
35, 48, 92, 76, 64, 52, 51, 63 and 71.



The following data gives the information on the observed lifetimes (in hours) of 225 electrical components:
Lifetimes
(in hours)
0 - 2020 - 4040 - 6060 - 8080 - 100100 - 120
Frequency103552613829
Determine the modal lifetimes of the components:



The following table shows the ages of the patients admitted in a hospital during a year :
Ages
(in years)
5 - 1515 - 2525 - 3535 - 4545 - 5555 - 65
No. of patients6112123145
Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency?



The following distribution gives the state-wise teacher-student ratio in higher secondary schools of India. Find the mode and mean of this data. interpret the two measures.
No. of Students
per Teacher
No. of 
States/U.T
15 - 203
20 - 258
25 - 309
30 - 3510
35 - 403
40 - 450
45 - 500
50 - 552



Write the modal class for the given frequency distribution
Class
interval
1 - 55 - 1010 - 1515 - 2020 - 2525 - 30
Frequency5120915143



Write the median class for the given frequency distribution.
Class mark10 - 1515 - 2020 - 2525 - 3030 - 35
Cumulative
frequency
512182540



The following data gives the distribution of total monthly household expenditure of 200 families of a village. Find the modal monthly expenditure of the families. Also, and the mean monthly expenditure:
Expenditure (?)No. of families
1000 - 150024
1500 - 200040
2000 - 250033
2500 - 300028
3000 - 350030
3500 - 400022
4000 - 450016
4500 - 50007



find the mean from mode for data 
x_{i}1020304050607080
f_{i}281626201675



find the mean from mode for data 
x{i}345678
fv246321



find the mean from mode for data 
Income (daily)Number
0-104
10-208
20-309
30-4010
40-507
50-605
60-704
70-803



find the mean from mode for data 
Height (cm)95-10105-115115-125125-135135-145145-155
Number91326301210



find the mean from mode for data 
AgeNumber
16-205
21-356
26-3012
31-3514
36-4026
41-4512
46-5016
51-559



find the mean from mode for data 
MarksNumber
10-203
20-304
30-407
40-508
50-602
60-701



Runs scored by players of a cricket team are as follows:
57, 17, 26, 91, 115, 26, 83, 41, 57, 0, 26
Find their arithmetic mean, median and mode.



Following frequency distribution represents electricity cost 0f 68 users in a colony. Find mean, median and mode from these data.
Monthly consumption65-8585-105105-125125-145145-165165-185185-205
Number of users4513201484



The following number of goals were scored by a football team in a series of 10 matches : 2, 3, 4, 5,1, 3, 3, 4, 3
Find the mean, median and mode of these scores.



Find the mode from the following data:
 Variable 0-1010-20 20-30 30-40 40-50 50-60 60-70 
Frequency 12 18 25 16 14 



Find the mean for the following frequency distribution:

Class

Frequency (f)

0-10

5

10-20

8

20-30

15

30-40

16

40-50

6



Find out missing frequency Iif the arithmetic mean of the following series is8.
X203040506070
F5?151085



Calculate the arithmetic mean of the marks secured by students of a class in their weekly test.
Marks0-55-1010-1515-2020-25
No. of students286104



The following frequency distribution gives the monthly consumption of electricity of 70 customers of a certain locality:
Monthly consumptions of Electricity
(in units)
Frequency
No. of consumers
65 - 854
85 - 1055
105 - 12513
125 - 14522
145 - 16514
165 - 1858
185 - 2054
Hence find mean and mode



The distribution below gives the weights of 30 students of a class. Find the median weight of the students.
Weight (in kg)
40-45
45-50
50-55
55-60
60-65
65-70
70-75
Number of students
2
3
8
6
6
3
2



The following frequency distribution gives the monthly consumption of electricity of 70 consumers of a locality.
Monthly Consumption(Units)No. of Consumers
65-8504
85-10505
105-12513
125-14522
145-16514
265-18508
185-20504
Find its mean and median.



Obtain the mean number of bags sold by a shopkeeper on 6 consecutive days from the following table.
DaysMondayTuesdayWednesdayThursdayFridaySaturday
No. of bags sold   55   32   30   25   10   20



The following table shows the age distribution of cases of a certain disease reported during a year in a particular city.
Age in years5-1415-2425-3435-4445-5455-64
No. of cases   6   11   12   10   7   4
Obtain the mean, median and mode of the above data.



Find the median for the following frequency table.
Value121315192223
Frequency  4  2  4  4  1  5



The median of 230 observations isFind a and b.
Class10-2020-3030-4040-5050-6060-70
Frequency1230a65b25



Find the mode for the following distribution:
Class-intervalFrequency
0-105
10-208
20-307
30-4012
40-5028
50-6020
60-7010
70-8010



1)Numbers 50,42,35,2 x + 10,2 x - 8,12,11,8 are written in descending order and their median is 25 find x.
2)Find the median of data: 15,6,16,8,22,21,9,18,25.
3)Find the mean,median and mode of the data: 10,15,18,10,10,20,10,20,15,21,15,25.



The following table gives the numbers of branches and number plants in a garden of a school.
No. of branches23456
No. of plants1421282017
Calculate the mean, median and mode of the above data.



The table below classifies 60 students in a class according to their heights.
Height (cm)Number of students
140-1455
145-1508
150-15512
155-16016
160-16511
165-1705
170-1753
Find the median of the amount paid.



Find the median for the following data.
Height (ft)5-1010-1515-2020-2525-30
No. of trees    4    3    10    8    5



The heights of the student of the college are given below:

Height of
students


           (in cm)



No. of students



160-163



22



164-167



80



168-171



98



172-175



145



176-179



104



180-183



43



154-187



5




 

Calculate the height of students such that 75% students are below it.



The following table shows the distribution of weights of 100 candidates appearing for a competition. Determine the model weight.
Weight (in\ kg)50-5555-6060-6565-7070-7575-80
Number of candidates 131845160602



Find the median class of the following distribution.
Weight (in kg)Number of students
45-477
47-495
49-518
51-5312
53-5510
55-572
57-591



Calculate the median for the following data frequency
C.I0-2020-4040-6060-8080-100100-120120-140
Freq.681012653



The runs scored in a cricket match by 11 players are as follows:
6,15,120,50,100,80,10,15,8,10,10
Find the mean, mode and median of this data.



Calculate the mode for the following frequency distribution table:

1568059_e7b988aa1ceb4f42aebbe0207302a757.PNG



Compute the mode for the following frequency distribution.

Class

Frequency

0-3

3

3-6

4

6-9

5

9-12

2

12-15

1

15-18

6

18-21

7

21-24

3

24-27

5

27-30

2




Calculate the mean and median for the following data:
Marks1011121314161920
Number of students: 35452321
Using empirical formula, find its mode.



The marks of 15 students in an examination are:
25, 19, 17, 24, 23, 29, 31, 40, 19, 20, 22, 26, 17, 35,Find the median score.



Find the mode and median of the data: 13,16,12,14,19,12,14,13,14
By using the empirical relation also find the mean.



100 surnames were randomly picked up from a local telephone directory and the frequency distribution of the number of letters in the English alphabets in the surnames was obtained as follows :
Determine the median number of letters in the surnames. Find the mean number of letters in surnames. Also, find the modal size of the surnames.
1869697_415f230b57f7470cbcf875373458b80e.png



Which is the median class and why?



Which is the model class? Why?



Class 10 Maths Extra Questions