CBSE Class 10 Mathematics Statistics MCQs

Question. The median class of the following distribution is 

(a) 10 – 20
(b) 20 – 30
(c) 30 – 40
(d) 40 – 50

Question. Weights of 40 eggs were recorded as given below: 

The lower limit of the modal class is
(a) 90
(b) 95
(c) 94.5
(d) 89.5

Question. The arithmetic mean of 12 observations is 7.5. If the arithmetic mean of 7 of these observations is 6.5, the mean of the remaining observations is
(a) 5.5
(b) 8.5
(c) 8.9
(d) 9.2

Question. In a continuous frequency distribution, the mean of the data is 25. If each item is increased by 5, then the new median will be
(a) 25
(b) 30
(c) 20
(d) none of these

Question. In a continuous frequency distribution with usual notations, if l = 32.5, f₁ = 15, f₀ = 12, f₂ = 8 and h = 8, then the mode of the data is
(a) 32.5
(b) 33.5
(c) 33.9
(d) 34.9

Question. Construction of cumulative frequency table is useful in determining the
(a) mean
(b) median
(c) mode
(d) all three

Question. 

finding the mean of the grouped data, d_i’s are deviations from assumed mean ‘a’ of
(a) lower limits of classes
(b) upper limits of classes
(c) class marks
(d) frequencies of the classes.

Question. If x_i’s are the midpoints of the class intervals of grouped data, f_i’s are the corresponding frequencies and x is the mean, then 

(a) 0
(b) –1
(c) 1
(d) 2

Question. 

Question. For the following distribution: 

The sum of lower limits of the median class and the modal class is
(a) 15
(b) 25
(c) 30
(d) 35

Question. Consider the following frequency distribution: 

The upper limit of the median class is
(a) 29
(b) 29.5
(c) 30
(d) 19.5

Question. The abscissa of the point of intersection of the less than type and of the more than type ogives gives its
(a) mean
(b) median
(c) mode
(d) all three

Question. For the following distribution: the modal class is 

(a) 10 – 20
(b) 20 – 30
(c) 30 – 40
(d) 40 – 50

Question. From the following data of the marks obtained by students of class X 

How many students, secured less than 40 marks?
(a) 70
(b) 40
(c) 80
(d) 30

Question. The times in seconds taken by 150 athletics to run a 100m hurdle race are given as under: 

The number of athletes who completed the race in less than 13.9 sec is
(a) 21
(b) 55
(c) 41
(d) 76

Question. Consider the data: 

The difference of the upper limit of the median class and the lower limit of the modal class is
(a) 0
(b) 19
(c) 20
(d) 38

Question. Consider the following distribution: 

The frequency of the class 30 – 40 is
(a) 3
(b) 4
(c) 48
(d) 41

Question : The range of the data 14, 27, 29, 61, 45, 15, 9, 18 is
(a) 61
(b) 52
(c) 47
(d) 53

Question : The class mark of the class 120 – 150 is
(a) 120
(b) 130
(c) 135
(d) 150

Question : The class mark of a class is 10 and its class width is 6. The lower limit of the class is
(a) 5
(b) 7
(c) 8
(d) 10

Question : In a frequency distribution, the class width is 4 and the lower limit of first class is 10. If there are six classes, the upper limit of last class is
(a) 22
(b) 26
(c) 30
(d) 34

Question : The class marks of a distribution are 15, 20, 25, ____ 45. The class corresponding to 45 is
(a) 12.5 – 17.5
(b) 22.5 – 27.5
(c) 42.5 – 47.5
(d) none of these

Question : The number of students in which two classes are equal.

(a) VI and VIII
(b) VI and VII
(c) VII and VIII
(d) none of these 

Question : The mean of first five prime numbers is
(a) 5.0
(b) 4.5
(c) 5.6
(d) 6.5 

Question : The mean of first ten multiples of 7 is
(a) 35.0
(b) 36.5
(c) 38.5
(d) 39.2 

Question : The mean of x + 3, x – 2, x + 5, x + 7 and x + 72 is
(a) x + 5
(b) x + 2
(c) x + 3
(d) x + 7

Question : The mean of 10 observations is 42. If each observation in the data is decreased by 12, the new mean of the data is
(a) 12
(b) 15
(c) 30
(d) 54

Question : The median of 10, 12, 14, 16, 18, 20 is
(a) 12
(b) 14
(c) 15
(d) 16

Question : If the median of 12, 13, 16, x + 2, x + 4, 28, 30, 32 is 23, when x + 2, x + 4 lie between 16 and 30, then the value of x is
(a) 18
(b) 19
(c) 20
(d) 22

Question : If the mode of 12, 16, 19, 16, x, 12, 16, 19, 12 is 16, then the value of x is
(a) 12
(b) 16
(c) 19
(d) 18

Question : The mean of the following data is

(a) 12
(b) 13
(c) 13.5
(d) 13.6

Question : The mean of 10 numbers is 15 and that of another 20 number is 24 then the mean of all 30 observations is
(a) 20
(b) 15
(c) 21
(d) 24 

Question. The arithmetic mean of the following frequency distribution is 25, then the value of p is 

(a) 12
(b) 16
(c) 18
(d) 20

Question. If the mean of the following frequency distribution is 54, then the value of p is 

(a) 12
(b) 16
(c) 18
(d) 11

Question. The mean of the following frequency distribution is 

(a) 12
(b) 16
(c) 22
(d) 20

Question. The mean of the following frequency distribution is 

(a) 12.2
(b) 16.2
(c) 22.2
(d) 27.2

Question. The median of the following frequency distribution is 

(a) 120
(b) 160
(c) 220
(d) 270