CBSE Questions for Class 11 Commerce Economics Measures Of Central Tendency Quiz 9 - MCQExams.com

Find the mean marks from the following data:
Marks
No. of students
Below $$10$$
$$4$$
Below $$20$$
$$10$$
Below $$30$$
$$18$$
Below $$40$$
$$28$$
Below $$50$$
$$40$$
Below $$60$$
$$70$$
  • $$40\dfrac {5}{7} marks$$
  • $$40\dfrac {4}{7} marks$$
  • $$30\dfrac {5}{7} marks$$
  • $$20\dfrac {4}{7} marks$$
The following data shows that the age distribution of patients of malaria in a village during a particular month. Find the average age of the patients.
Age (in years)
No. of cases
5-14
6
15-24
11
25-34
21
35-44
23
45-54
14
55-64
5
65-74
3
  • $$36.12$$ years
  • $$36.13$$ years
  • $$13.36$$ years
  • $$23.36$$ years
The mean of first five prime numbers is
  • $$5.6$$
  • $$3.6$$
  • $$6.83$$
  • $$5.2$$
Thirty women were examined in a hospital by a doctor and the number of heart beats per minute were recorded and summarised as follows. Find the mean heart beats per minute for these women, choosing a suitable method.
Number of heart beats per minute
Number of women
65-68
2
68-71
4
71-74
3
74-77
8
77-80
7
80-83
4
83-86
2
  • 75.92
  • 35.92
  • 60.92
  • 80.92
Using empirical formula, calculate the mode for the following data:
$$17$$, $$16$$, $$25$$, $$23$$, $$22$$, $$23$$, $$28$$, $$25$$, $$25$$, $$23$$
  • $$14.61$$
  • $$19.6$$
  • $$23.6$$
  • $$28.3$$
The following table shows the ages of the patients admitted in a hospital during a year:
Age (in years)
5-15
15-25
25-35
35-45
45-55
55-65
No. of patients
6
11
21
23
14
5
Find  the mean of the data given above.
  • $$33.42$$ years
  • $$35.37$$ years
  • $$37.15$$ years
  • None of these
The following table gives the literacy rate (in percentage) of $$35$$ cities. Find the mean literacy rate.
Literacy rate (in $$\%$$)
 $$45-55$$
 $$55-65$$ 
$$65-75$$ 
$$75-85$$
$$85-95$$
No. of cities
$$3$$
$$10$$
$$11$$
$$8$$
$$3$$
  • $$69.43$$
  • $$70.43$$
  • $$68.33$$
  • $$67.23$$
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 a certain city and is presented below:
Concentration of $$SO_2$$ (in ppm)
Frequency
0.00-0.04
4
0.04-0.08
9
0.08-0.12
9
0.12-0.16
2
0.16-0.20
4
0.20-0.24
2
Find the mean concentration of $$SO_2$$ in the air.
  • 0.099
  • 0.090
  • 0.089
  • 0.990
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.
No. of days
0-6
6-10
10-14
14-20
20-28
28-38
38-40
No. of students
11
10
7
4
4
3
1
  • 12.475
  • 12.405
  • 12.005
  • 12.950
The table below shows the daily expenditure on food of 25 households in a locality.
Daily expenditure (in Rs.)
No. of households
100-150
4
150-200
5
200-250
12
250-300
2
300-350
2
Find the mean daily expenditure on food by a suitable method.
  • 211
  • 201
  • 215
  • 209
The mean of the following frequency distribution is
Class IntervalFrequency
0-104
10-206
20-3010
30-4016
40-5014
  • 25
  • 35
  • 30
  • 31
Consider the following distribution of daily wages of 50 workers of a factory.
Daily wages (in Rs.)
Number of workers
100-120
12
120-140
14
140-160
8
160-180
6
180-200
10
Find the mean daily wages of the workers of the factory by using an appropriate method.
  • 145.2
  • 155.2
  • 135.2
  • 180.2
In a group of students, the mean weight of boys is $$65$$ kg. and mean weight of girls is $$55$$ kg. If the mean weight of all students of group is $$61$$ kg, then the ratio of the number of boys and girls in the group is
  • 2 : 3
  • 3 : 1
  • 3 : 2
  • 4 : 3
The median of a set of eight numbers is $$4.5$$. Given that seven of the numbers are $$7, 2,3, 4,8,2$$ and $$1$$ find the eighth number and write down the mode of eight numbers.
  • $$4$$
  • $$7$$
  • $$2$$
  • $$1$$
The mean of $$1, 7, 5, 3, 4$$ and $$4$$ is $$m$$. The observations $$3, 2, 4, 2, 3, 3$$ and $$p$$ have the mean $$(m - 1)$$. Find the median of the second set of data.
  • $$4$$
  • $$2.5$$
  • $$3$$
  • $$5$$
The arithmetic mean of first ten natural numbers is
  • $$5.5$$
  • $$6$$
  • $$7.5$$
  • $$10$$
In order to make the computation of the arithmetic mean of a set of $$50$$ numbers simpler each observation is subtracted from $$53$$ and the arithmetic mean of the set of differences is found to be $$-3.5$$. The arithmetic mean of the set of given numbers is
  • $$53.07$$
  • $$52.93$$
  • $$56.50$$
  • $$49.50$$
Class0-1010-2020-3030-40  40-50
Frequency5$$x$$15166
The missing frequency marked $$\displaystyle x$$ of the above distribution whose mean is 27 is : 
  • $$7$$
  • $$8$$
  • $$9$$
  • $$10$$
In a class of $$19$$ students, seven boys failed in a test. Those who passed scored $$12,15,17,15,16,15,19, 19, 17, 18, 18$$ and $$19$$ marks. The median score of the $$19$$ students in the class is
  • $$15$$
  • $$16$$
  • $$17$$
  • $$18$$
The average income of a group of persons is $$\displaystyle \bar{x}$$ and that of another group is $$\displaystyle \bar{y}.$$ If the number of persons of both group are in the ratio 4 : 3, then average income of combined group is
  • $$\displaystyle \frac{\bar{x}+\bar{y}}{7}$$
  • $$\displaystyle \frac{3\bar{x}+4\bar{y}}{7}$$
  • $$\displaystyle \frac{4\bar{x}+3\bar{y}}{7}$$
  • None of these
Calculate the mode
$$17, 13, 16, 17, 16, 21, 21, 9, 12, 17$$
  • $$17$$
  • $$16$$
  • $$21$$
  • $$13$$
If the mean of following frequency distribution is $$188$$ find the missing frequencies $$\displaystyle f_{1}\: and\: f_{2}$$
C.I.0-8080-160160-240240-320320-400Total
Freq.2025$$\displaystyle f_{1}$$$$\displaystyle f_{2}$$10100
  • $$\displaystyle f_{1}$$ = 51, $$\displaystyle f_{2}$$ = 30
  • $$\displaystyle f_{1}$$ = 20, $$\displaystyle f_{2}$$ = 40
  • $$\displaystyle f_{1}$$ = 15, $$\displaystyle f_{2}$$ = 30
  • $$\displaystyle f_{1}$$ = 15, $$\displaystyle f_{2}$$ = 20
Consider the table given below
Marks0-1010-2020-3030-4040-5050-60
Number of Students12182720176
The arithmetic mean of the marks given above is
  • $$18$$
  • $$28$$
  • $$27$$
  • $$6$$
A distribution consists of three components with frequencies $$45, 40$$ and $$15$$ having their means $$2, 2.5, 2$$ respectively. The mean of the combined distribution is
  • $$2.1$$
  • $$2.2$$
  • $$2.3$$
  • $$2.4$$
Find the upper quartile for the data: $$9,11,15,19,17,13,7.$$
  • $$17$$
  • $$16$$
  • $$12$$
  • None of these
Find the mode of the following data:
$$25, 16, 19, 48, 19, 20, 34, 15, 19, 20, 21, 24, 19, 16, 22, 16, 18, 20, 16, 19$$
  • $$19$$
  • $$18$$
  • $$17$$
  • $$25$$
Which of the following does not change for the observation $$23, 50, 27, 2x, 48, 59, 72, 89, 5x, 100, 120$$ when $$x$$ lies between $$15$$ and $$20$$?
  • Arithmetic mean
  • Range
  • Median
  • Quartile deviation
Mean of the following frequency distribution is
Class0-55-1010-1515-2020-25
Frequency248610
  • $$15.5$$
  • $$16.5$$
  • $$14.5$$
  • $$13.5$$
 C.I. 0-10 10-20 20-30 30-40 40-50
 Frequency 7 5 3 4 6
Find the mean of the following continuous distribution
  • $$23.8$$
  • $$22.8$$
  • $$25.8$$
  • $$24.8$$
The mean of the following distribution is
Class$$0-5$$$$5-10$$$$10-15$$$$15-20$$$$20-25$$$$25-30$$
Frequency$$4$$$$5$$$$7$$$$12$$$$7$$$$5$$
  • $$15$$
  • $$16$$
  • $$17$$
  • $$18$$
0:0:1


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