CBSE - Statistics

1 Statistics 

The frequency distribution of marks obtained by 28 students in a test carrying 40 marks is given below

If the mean of the above data is 20, then the difference between x and y is 
(1) 3
(2) 2
(3) 1
(4) 0

2 Statistics 

The median from the following distribution is 

(1) 19
(2) 19.5
(3) 20
(4) 18

3 Statistics 

If y=f(x) be a monotonically increasing or decreasing function of x and M is the median of variable x, then the median of y is

(1) f(M)
(2) M/2
(3) f⁻¹(M)
(4) none of these

4 Statistics 

The mean yearly salary of an employee of acompany was Rs. 20,000. If the mean yearly salaries of male and female employees were Rs. 20800 and Rs. 16800  respectively, then the percentages of males and females employed in the company respectively are

(1) 80% and 20%
(2) 70% and 30%
(3) 55% and 45%
(4) 50% and 50%

5 Statistics 

If the median of the data x1,x2,x3,x4,x5,x6,x7,x8 is α and x1<x2<x3<x4<x5<x6<x7<x8, then the median of x3,x4,x5,x6 is

(1) α
(2) α / 2
(3) α / 3
(4) α / 4

6 Statistics 

When 10  is subtracted from all the observations, the mean is reduced to 60%  of its value. If 5 is added to all the observations, then the mean will be

(1) 25
(2) 30 
(3) 60
(4) 65 

7 Statistics 

Find the median of the following values :
37, 31, 42, 43, 46, 25, 39, 45, 32

1) 31
2) 46
3) 39
4)  43

8 Statistics 

If the mean of the lower and upper quartile is 10 and semi-interquartile range is 5, then the lower quartile and upper quartile respectively are

(1) 2 and 12
(2) 3 and 13
(3) 4 and 14
(4) 5 and 15

9 Statistics 

A family spends Rs. 6,000 p.m. to meet the monthly expenditure. The expenditure has been shown in the given pie diagram. The miscellaneous expenditure is

(1) Rs. 1,500
(2) Rs. 2,000 
(3) Rs. 1,200
(4) Rs. 3,000

10 Statistics 

If number 6, 8, 2x – 5, 2x – 1, 15, 17, 20 and 22 are in asending order and its mediun is 14 t hen the value of x will be

(1) 14 
(2) 7 
(3) 15 
(4) 20