Statistics Foundation CUET CBSE questions

CBSE - Statistics

 

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

A. Option 1
B. Option 2
C. Option 3
D. Option 4
 
 

Option: 1

Solution :

-.

 

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 

A. Option 1
B. Option 2
C. Option 3
D. Option 4
 
 

Option: 2

Solution :

-.

 

Statistics 

From the following table, what was the value of the cumulative price for the product tablet?
 

Product Price
phone 120
tablet 200
blue-tooth 90

(1) 300
(2) 310 
(3) 320
(4) 330

A. Option 1
B. Option 2
C. Option 3
D. Option 4
 
 

Option: 3

Solution :

-.

 

Statistics 

Compute mode for the following data

7, 7, 8, 8, 8, 9, 9, 10, 10, 10, 11, 11, 12, 13, 13

1) 10.4
2) 10.2
3) 9.8
4) 10.5

A. Option 1
B. Option 2
C. Option 3
D. Option 4
 
 

Option: 4

Solution :

-.

 

Statistics 

The median from the following distribution is 

Class: 5-10 10-15 15-20 20-25 25-30 30-35 35-40 40-45
Frequency: 5 6 15 10 5 4 2 2

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

 

A. Option 1
B. Option 2
C. Option 3
D. Option 4
 
 

Option: 2

Solution :

-.

 

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

A. Option 1
B. Option 2
C. Option 3
D. Option 4
 
 

Option: 1

Solution :

-.

 

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

A. Option 1
B. Option 2
C. Option 3
D. Option 4
 
 

Option: 3

Solution :

-.

 

Statistics 

The mean and median of the data x,y,z are 50 and 35respectively, where x<y<z. If z−x=55, then the value of (y−x) is

(1) 8
(2) 7
(3) 3
(4) 5

A. Option 1
B. Option 2
C. Option 3
D. Option 4
 
 

Option: 4

Solution :

-.

 

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

A. Option 1
B. Option 2
C. Option 3
D. Option 4
 
 

Option: 3

Solution :

-.

 

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

A. Option 1
B. Option 2
C. Option 3
D. Option 4
 
 

Option: 2

Solution :

-.

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