Heights in cm. | 120−124 | 125−129 | 130−134 | 135−139 | 140−144 |
No. of students | 6 | 9 | 10 | 12 | 8 |
No. of wards | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
No. of houses | 32 | 57 | 28 | 96 | 138 | 90 | 66 | 58 |
Days | Mon | Tue | Wed | Thurs | Fri | Sat | Sun |
Rainfall ( in mm) | 0.0 | 12.2 | 2.1 | 0.0 | 20.5 | 5.5 | 1.0 |
i) Find the range of the rainfall in the above data.
Class interval | 30−40 | 40−50 | 50−60 | 60−70 | 70−80 | 80−90 | 90−100 |
Frequency | 3 | 7 | 12 | 15 | 8 | 3 | 2 |
Size | 10−15 | 15−20 | 20−25 | 25−30 |
Frequency | 2 | 4 | 6 | 8 |
Marks | No. of students |
0-10 | 6 |
10-20 | 5 |
20-30 | 8 |
30-40 | 15 |
40-50 | 7 |
50-60 | 6 |
60-70 | 3 |
Variate | 15 | 18 | 20 | 22 | 25 | 27 | 30 |
Frequency | 4 | 6 | 8 | 9 | 7 | 8 | 6 |
Income (in rupees) | 500-600 | 400-500 | 300-400 | 200-300 | 100-200 |
Number of persons | 17 | 20 | 30 | 18 | 15 |
Marks below | 10 | 20 | 30 | 40 | 50 |
Number of students | 3 | 8 | 17 | 20 | 22 |
Marks more than | 0 | 10 | 20 | 30 | 40 | 50 |
Number of students | 50 | 46 | 40 | 20 | 10 | 3 |
Marks | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
Frequency | 3 | 8 | 10 | 12 | 16 | 12 | 10 |
Age in (years) | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 |
Frequency | 8 | 14 | 25 | 28 | 25 | 10 | 5 |
Class interval | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 |
Frequency | 2 | 9 | 3 | 4 | 8 | 7 | 8 | 3 |
Find the mode of the following data.
Marks | 35 | 36 | 37 | 38 | 39 | 40 |
No of Student | 09 | 07 | 09 | 04 | 04 | 02 |
x | 3 | 4 | 5 | 6 | 7 | 8 |
f | 2 | 4 | 6 | 3 | 2 | 1 |
x | 1.1 | 1.2 | 1.3 | 1.4 | 1.5 | 1.6 |
f | 20 | 50 | 80 | 60 | 15 | 8 |
No. of members | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
No. of families | 1 | 2 | 4 | 6 | 10 | 3 | 5 |
Marks | 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 |
No. of Students | 2 | 8 | 16 | 26 | 20 | 16 | 7 | 4 |
Marks | No. of Students |
0 - 10 | 5 |
10 - 20 | 12 |
20 - 30 | 14 |
30 - 40 | 10 |
40 - 50 | 8 |
50 - 60 | 6 |
Xi | 6 | 10 | 14 | 18 | 24 | 28 | 30 |
fi | 2 | 4 | 7 | 12 | 8 | 4 | 3 |
Xi | 60 | 61 | 62 | 63 | 64 | 65 | 66 | 67 | 68 |
fi | 2 | 1 | 12 | 29 | 25 | 12 | 10 | 4 | 5 |
Classes | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 |
Frequencies | 5 | 8 | 15 | 16 | 6 |
Classes | 0-30 | 30-60 | 60-90 | 90-120 | 120-150 | 150-180 | 180-210 |
Frequencies | 2 | 3 | 5 | 10 | 3 | 5 | 2 |
Xi | 92 | 93 | 97 | 98 | 102 | 104 | 109 |
fi | 3 | 2 | 3 | 2 | 6 | 3 | 3 |
Height in cms | No. of children |
70-75 | 3 |
75-80 | 4 |
80-85 | 7 |
85-90 | 7 |
90-95 | 15 |
95-100 | 9 |
100-105 | 6 |
105-110 | 6 |
110-115 | 3 |
Subject | Mathematics | Physics | Chemistry |
Mean | 42 | 32 | 40.9 |
Standard deviation | 12 | 15 | 20 |
Marks | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 |
Group A | 9 | 17 | 32 | 33 | 40 | 10 | 9 |
Group B | 10 | 20 | 30 | 25 | 43 | 15 | 7 |
Diameters | No. of circles |
33−36 | 15 |
37−40 | 17 |
41−44 | 21 |
45−48 | 22 |
49−52 | 25 |
X | 35 | 54 | 52 | 53 | 56 | 58 | 52 | 50 | 51 | 49 |
Y | 108 | 107 | 105 | 105 | 106 | 107 | 104 | 103 | 104 | 101 |
Marks | Up to 5 | Up to 6 | Up to 7$ | Up to 8 | Up to 9 | Up to 10 |
No of students | 5 | 11 | 19 | 31 | 40 | 45 |
98.1 | 98.6 | 99.2 | 90.3 | 86.5 | 95.3 | 92.9 | 96.3 | 94.2 | 95.1 |
89.2 | 92.3 | 97.1 | 93.5 | 92.7 | 95.1 | 97.2 | 93.3 | 95.2 | 97.3 |
96.0 | 92.1 | 84.9 | 90.0 | 95.7 | 98.3 | 97.3 | 96.1 | 92.1 | 89 |
Marks (x) | 10 | 20 | 30 | 40 | 50 | 60 |
No. of students (f) | 8 | 12 | 20 | 10 | 7 | 3 |
No. of books | 0 | 1 | 2 | 3 | 4 |
No. of students | 35 | 64 | 68 | 18 | 15 |
Wages in Rs | 30-34 | 34-38 | 38-42 | 42-46 | 46-50 | 50-54 |
No. of workers | 4 | 7 | 9 | 11 | 6 | 3 |
Class-interval | Frequency |
1-5 | 1 |
6-10 | 2 |
11-15 | 3 |
16-20 | 4 |
Class: | 0-4 | 4-8 | 8-12 | 12-16 | 16-20 |
Frequency: | 6 | 10 | 12 | 10 | 8 |
X | 10 | 20 | 30 | 40 | 50 | 60 | 70 |
Y | 05 | 15 | 30 | 35 | 25 | 27 | 08 |
Wages (Rs) | 125-175 | 175-225 | 225-275 | 275-325 | 325-375 | 375-425 | 425-475 | 475-525 |
Number of workers | 2 | 22 | 19 | 14 | 3 | 4 | 6 | 1 |
X=x | 1 | 2 | 3 |
p(X=x) | \frac{1}{5} | \frac{2}{5} | \frac{2}{5} |
Marks | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 |
No. of student | 02 | 05 | 07 | 08 | 03 |
x_1^{} | 6 | 9 | 3 | 12 | 15 | 13 | 21 | 22 |
f_1^{} | 4 | 5 | 3 | 2 | 5 | 4 | 4 | 3 |
X=x | -2 | -1 | 0 | 1 | 2 | 3 |
P(X=x) | 0.1 | k | 0.2 | 2k | 0.3 | k |
Number of people in each car | 1 | 2 | 3 | 4 | 5 |
Frequency | 50 | 40 | 10 | 20 | 5 |
61-70 | 5 |
81-80 | 15 |
81-90 | 20 |
91-100 | 30 |
101-110 | 10 |
111-120 | 8 |
Class | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 | 80-90 | 90-100 |
Frequency | 3 | 7 | 12 | 15 | 8 | 3 | 2 |
x_i | 6 | 10 | 14 | 18 | 24 | 28 | 30 |
f_i | 2 | 4 | 7 | 12 | 8 | 4 | 3 |
x_i | 4 | 8 | 11 | 17 | 20 | 24 | 32 |
f_i | 3 | 5 | 9 | 5 | 4 | 3 | 1 |
Wages per day in Rs. | 38 | 45 | 48 | 55 | 62 | 65 |
No. of workers | 14 | 8 | 7 | 10 | 6 | 2 |
Score | 0 | 1 | 2 | 3 | 4 | 5 |
No. of shots | 0 | 3 | 6 | 4 | 7 | 5 |
Marks | 20 | 70 | 50 | 60 | 75 | 90 | 40 |
No. of students | 8 | 12 | 18 | 6 | 9 | 5 | 12 |
Marks | 35 | 45 | 50 | 64 | 70 | 72 |
No. of students | 3 | 5 | 8 | 10 | 5 | 5 |
The daily wages in (rupees of) 19 workers are
41, 21, 38, 27, 31, 45, 23, 26, 29, 30, 28, 25, 35, 42, 47, 53, 29, 31, 35.
Find the median?
Find the
mean deviation about the median for the data
x_i | 5 | 7 | 9 | 10 | 12 | 15 |
f_i | 8 | 6 | 2 | 2 | 2 | 6 |
Find the mean deviation about the mean for the data.
x | 5 | 10 | 15 | 20 | 25 |
f_{i} | 7 | 4 | 6 | 3 | 5 |
Group A | Group B |
7 | 7 |
7 | 9 |
9 | 11 |
8 | 12 |
10 | 12 |
10 | 12 |
Find the mean deviation about the median for the data
\mathrm{x_i} | 15 | 21 | 27 | 30 | 35 |
\mathrm{f}_{\mathrm{i}} | 3 | 5 | 6 | 7 | 8 |
x_i | 6 | 10 | 14 | 18 | 24 | 28 | 30 |
f_i | 2 | 4 | 7 | 12 | 8 | 4 | 3 |
x_i | 92 | 93 | 97 | 98 | 102 | 104 | 109 |
f_i | 3 | 2 | 3 | 2 | 6 | 3 | 3 |
Marks | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 |
Number of students | 15 | 20 | 24 | 24 | 12 | 31 | 71 | 52 |
Milk (litre) | 1 - 3 | 3 - 5 | 5 - 7 | 7 - 9 | 9 - 11 | 11 - 13 |
No. of hotels | 7 | 5 | 15 | 20 | 35 | 18 |
Average Speed of vehicles (km/hr) | 60 - 64 | 64 - 69 | 70 - 74 | 75 - 79 | 79 - 84 | 84 - 89 |
No. of vehicles | 10 | 34 | 55 | 85 | 10 | 6 |
Age (years) | :ess than 5 | 5 - 9 | 10 - 14 | 15 - 19 | 20 - 24 | 25 - 29 |
No. of patients | 38 | 32 | 50 | 36 | 24 | 20 |
Use of electricity (Unit) | 0 - 20 | 20 - 40 | 40 - 60 | 60 - 80 | 80 - 100 | 100 - 120 |
No of families | 13 | 50 | 70 | 100 | 80 | 17 |
Content of Fat (%) | 2 - 3 | 3 - 4 | 4 - 5 | 5 - 6 | 6 - 7 |
Milk collected (liter) | 30 | 70 | 80 | 60 | 20 |
Distance (km) | 200-210 | 210-220 | 220-230 | 230-240 | 240-250 |
No. of buses | 40 | 60 | 80 | 50 | 20 |
No. of bulbs produced (Thousands) | 30 - 40 | 40 - 50 | 50 - 60 | 60 - 70 | 70 - 80 | 80 - 90 | 90 - 100 |
No. of factories | 12 | 35 | 20 | 15 | 8 | 7 | 8 |
No. of Cars | 0 - 10 | 10 - 20 | 20 - 30 | 30 - 40 | 40 - 50 | 50 - 60 | 60 - 70 | 70 - 80 |
Frequency | 7 | 14 | 13 | 12 | 20 | 11 | 15 | 8 |
Runs scored | Number of batsmen |
3000 - 4000 | 4 |
4000 - 5000 | 18 |
5000 - 6000 | 9 |
6000 - 7000 | 7 |
7000 - 8000 | 6 |
8000 - 9000 | 3 |
9000 - 10000 | 1 |
10000 - 11,000 | 1 |
Age (in years) | No. of policy holders |
Below 20 | 2 |
Below 25 | 6 |
Below 30 | 24 |
Below 35 | 45 |
Below 40 | 78 |
Below 45 | 89 |
Below 50 | 92 |
Below 55 | 98 |
Below 60 | 100 |
Class interval | 0 - 5 | 5 - 10 | 10 - 15 | 15 - 20 | 20 - 25 | 25 - 30 |
Frequency | 5 | 3 | 9 | 10 | 8 | 5 |
Age (in years) | No. of policyholders (cf) |
Below 20 | 2 |
Below 25 | 6 |
Below 30 | 24 |
Below 35 | 45 |
Below 40 | 78 |
Below 45 | 89 |
Below 50 | 92 |
Below 55 | 98 |
Below 60 | 100 |
Size | 10 - 15 | 15 - 20 | 20 - 25 | 25 - 30 |
Frequency | 2 | 4 | 6 | 8 |
Diameter (mm) | 43-46 | 47-50 | 51-54 | 55-58 | 59-62 |
Number of circles | 15 | 17 | 21 | 22 | 25 |
x_{i} | 6 | 10 | 14 | 18 | 24 | 28 | 30 |
f_{i} | 2 | 4 | 7 | 12 | 8 | 4 | 3 |
Class | 1-5 | 6-10 | 11-15 | 16-20 | 21-25 | 26-30 | 31-35 |
Frequency | 5 | 7 | 18 | 25 | 20 | 4 | 1 |
Central size | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
Frequency | 3 | 6 | 9 | 13 | 8 | 5 | 4 |
Central size | 32--38 | 38-44 | 44-50 | 50-56 | 56-62 | 62-68 |
No. of student | 3 | 6 | 9 | 13 | 8 | 5 |
Class | 0 - 10 | 10 - 20 | 20 - 30 | 30 - 40 | 40 - 50 |
Frequency | 4 | 7 | 13 | 9 | 3 |
Class | 0 - 20 | 20 - 40 | 40 - 60 | 60 - 80 | 80 - 100 |
Frequency | 3 | 15 | 24 | 8 | 5 |
x | 0.1 | 0.2 | 0.3 | 0.4 | 0.5 | 0.6 | 0.7 |
f | 30 | 60 | 20 | 40 | 10 | 50 | 35 |
Class | Frequency |
10 - 15 | 3 |
15 - 20 | 7 |
20 - 25 | 16 |
25 - 30 | 12 |
30 - 35 | 9 |
35 - 40 | 5 |
40 - 45 | 3 |
Class-interval | 0-20 | 20-40 | 40-60 | 60-80 | 80-100 | 100-120 | 120-140 |
Frequency | 6 | 8 | 10 | 12 | 6 | 5 | 3 |
Life period (in hrs) | 0-20 | 20-40 | 40-60 | 60-80 | 80-100 | 100-120 |
Frequency | 100 | 35 | 52 | 61 | 38 | 29 |
Weight (in kg) | 40-45 | 45-50 | 50-55 | 55-60 | 60-65 | 65-70 | 70-75 |
No. of students | 2 | 3 | 8 | 6 | 6 | 3 | 2 |
Height (in cm) | 52 - 55 | 55 - 58 | 58 - 61 | 61 - 64 |
No. of students | 10 | 20 | 25 | 10 |
Marks | 20 - 30 | 30 - 40 | 40 - 50 | 50 - 60 | 60 - 70 |
No. of students | 4 | 28 | 42 | 20 | 6 |
Class-interval | Frequency |
80-85 | 33 |
85-90 | 27 |
90-95 | 85 |
95-100 | 155 |
100-105 | 110 |
105-110 | 45 |
110-115 | 15 |
Marks | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 | 80-90 |
Students | 19 | 3 | 2 | 49 | 24 | 5 | 2 | 1 |
X | 10 | 20 | 30 | 40 | 50 | 60 |
Class |
Frequency (f) |
0-10 |
5 |
10-20 |
8 |
20-30 |
15 |
30-40 |
16 |
40-50 |
6 |
Marks | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
Number of students | 1 | 2 | 3 | 3 | 6 | 10 | 5 | 4 | 3 | 3 |
Marks | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
Number of students | 1 | 2 | 3 | 3 | 6 | 10 | 5 | 4 | 3 | 3 |
Roll No. | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
Marks | 50 | 45 | 60 | 40 | 40 | 60 | 65 | 50 | 56 | 70 |
Class | Frequency |
0-10 | 5 |
10-20 | 8 |
20-30 | 10 |
30-40 | 15 |
40-50 | 12 |
Class |
Frequency |
10-20 |
4 |
20-30 |
5 |
30-40 |
6 |
40-50 |
2 |
50-60 |
3 |
Class | Frequency (f) |
10-20 | 4 |
20-30 | 5 |
30-40 | 6 |
40-50 | 2 |
50-60 | 3 |
Class | Frequency |
0-10 | 5 |
10-20 | 8 |
20-30 | 10 |
30-40 | 15 |
40-50 | 12 |
Weeks | COVID Patients (‘000) |
0-4 | 600 |
4-8 | 400 |
8-12 | 250 |
12-16 | 200 |
16-20 | 300 |
20-24 | 350 |
24-28 | 450 |
28-32 | 500 |
32-36 | 750 |
36-40 | 900 |
Marks | No. Of students |
0-20 | 8 |
20-40 | 12 |
40-60 | 30 |
60-80 | 20 |
80-100 | 10 |
No. of Books | 0 | 1 | 2 | 3 | 4 |
No. of Students | 35 | 64 | 68 | 18 | 15 |
x | 3 | 8 | 13 | 18 | 23 |
f | 7 | 10 | 15 | 10 | 8 |
x | 3 | 8 | 13 | 17 | 23 |
f | 7 | 10 | 15 | 10 | 8 |
Wages (Rs) | 125-175 | 175-225 | 225-275 | 275-325 | 325-375 | 375-425 | 425-475 | 475-525 | 525-575 |
Number of workers | 2 | 22 | 19 | 14 | 3 | 4 | 6 | 1 | 1 |
{ x }_{ i } | 6 | 10 | 14 | 18 | 24 | 28 | 30 |
{ f }_{ i } | 2 | 4 | 7 | 12 | 8 | 4 | 3 |
x=x | -2 | -1 | 0 | 1 | 2 | 3 |
P(x) | 0.1 | k | 0.2 | 2k | 0.3 | k |
Class | 0-10 | 10-20 | 20-20 | 30-40 | 40-50 |
Frequency | 5 | 8 | 15 | 16 | 6 |
Marks (Less than) |
Number of students (f) |
20 |
8 |
40 |
20 |
60 |
50 |
80 |
70 |
100 |
80 |
Class Interval | Frequency |
0-5 | 15 |
5-10 | 10 |
10-15 | 11 |
15-20 | 12 |
20-25 | 6 |
25-30 | 6 |
30-35 | 10 |
35-40 | 15 |
40-45 | 10 |
45-50 | 5 |
Class | 25-35 | 35-45 | 45-55 | 55-65 | 65-75 |
Frequency | 64 | 132 | 153 | 140 | 51 |
No. of Mangoes | 50 - 100 | 100 - 150 | 150 - 200 | 200 - 250 | 250 - 300 |
No. of trees | 33 | 30 | 90 | 80 | 17 |
Size | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
Frequency | 5 | 10 | 15 | 20 | 25 | 30 | 35 | 40 |
Size | 4 | 6 | 8 | 10 | 12 | 14 | 16 |
Frequency | 1 | 2 | 3 | 5 | 3 | 2 | 1 |