CBSE - Statistics

1 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

2 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

3 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

4 Statistics 

The coefficient of range of a set of data is given to be 18. Then the ratio of the maximum value in the data to the minimum value is:

(1) 8 / 1
(2) 9 / 8 
(3) 9 / 7
(4) 8 / 7

5 Statistics 

The median from the following distribution is 

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

6 Statistics 

The highest score of a certain data exceeds in lowest score by 16 and coefficient of range is 1/3. The sum of the highest score and the lowest score is

(1) 36
(2) 48 
(3) 24
(4) 18

7 Statistics 

The arithmetic mean and mode of a data are 24 and 12 respectively, Then the median of the data is 

(1) 20
(2) 18
(3) 21
(4) 22

8 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

9 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 

10 Statistics 

A school has 20 teachers, one of them retires at the age of 60  years and a new teacher replaces him, this  change reduces the average  age of the staff by 2 years,  the age of new teacher is 

(1) 28 years
(2) 25 years
(3) 20 years
(4) 18 years