Please refer to the **MCQ Questions for Class 10 Maths Statistics **with Answers. The following Statistics Class 10 Maths MCQ Questions have been designed based on the current academic year syllabus and examination guidelines for Class 10. Our faculty has designed MCQ Questions for Class 10 Maths with Answers for all chapters as per your NCERT Class 10 Mathematics book.

**Statistics Class 10 MCQ Questions with Answers**

Please see below Statistics Class 10 Mathematics MCQ Questions, solve the questions and compare your answers with the solutions provided below.

**Question.** What is the median of the first 100 natural numbers?

(a) 50.5

(b) 50

(c) 52

(d) 51

## **Answer**

A

**Question.****Find the mean of the first six multiples of 3**.

(a) 63

(b) 11.5

(c) 10.5

(d) 60

## **Answer**

C

**Question.** Which of the following is calculated using mid-values of classes?

(a) Mean

(b) Median

(c) Mode

(d) Range

## **Answer**

A

**Question.** The arithmetic mean of the scores of a group of students in a test was 52%. The brightest 20% of them secured a mean score of 80 and the dullest 25%, a mean score of 31 %. Which of the following is the mean score of the remaining 55%?

(a) 45%

(b) 50%

(c) 51.4% (approx)

(d) 54.6% (approx)

## **Answer**

C

**Question. Find the mode of 32, 20, 32, 16, 27 and 32.**

(a) 20

(b) 27

(c) 30

(d) 32

## **Answer**

D

**Question.** What is the mode of the data 3,6,3,4,6,4, 3,5,6,5, x and x2 ?

(a) 4 or 5 only

(b) 3 or 6 only

(c) 3 or 5 only

(d) 3, 4 or 6

## **Answer**

C

**Question.** What is the arithmetic mean of 20 fours, 40 fives, 30 sixes and 10 tens?

(a) 50

(b) 25

(c) 5.6

(d) 33

## **Answer**

C

**Question. what is the arithmetic mean of a + 2 , a and a – 2 ?**

(a) a + 2

(b) a

(c) a – 2

(d) 3a

## **Answer**

B

**Question.****The A.M. of ‘n’ numbers of a series is X. If the sum of first (n – 1) terms is ‘k’. what is the n ^{th }number?**

(a) n x̄ – nk

(b) n x̄ – k

(c) x̄ – nk

(d) x̄ – k

## **Answer**

B

**Question.****The A.M. of ‘n’ observations is M. If the sum of (n-4) observations is ‘a’, what is the mean of remaining 4 observations?**

(a) nM + a

(b) nM – a/2

(c) nM + a/2

(d) nm – a /4

## **Answer**

D

**Question.** Find the value of ‘ x ‘ if the mean of x + 2, 2x + 3, 3x + 4 and 4x + 5 is x + 2 .

(a) 2

(b) 1

(c) 3

(d) -1

## **Answer**

D

**Question.** The numbers 4 and 9 have frequencies x and (x – 1) respectively. If their arithmetic mean is 6, what is the value of’ x ‘ ?

(a) 2

(b) 3

(c) 4

(d) 5

## **Answer**

B

**Question.** The A.M. of 12 observations is 15. If an observation 20 is removed, what is the arithmetic mean of the remaining observations?

(a) 14.5

(b) 13

(c) 15

(d) 13.5

## **Answer**

A

**Question.** The mean of six numbers is 23. If one of the numbers is excluded, the mean of the remaining numbers is 20. Find the excluded number.

(a) 138

(b) 100

(c) 20

(d) 38

## **Answer**

D

**Question. The mean of the marks in Statistics of 100 students in class X was 72. The mean of marks for boys was 75, while their number was 70. What is the mean of marks of girls in the class? **

(a) 35

(b) 65

(c) 68

(d) 86

**Answer**

B

**Question. The mean age of a combined group of men and women is 25 years. If the mean age of the group of men is 26 years and that of the group of women is 21 years, find the percentage of men and women respectively **

in the group.

(a) 70, 30

(b) 30, 70

(c) 80, 20

(d) 60, 40

**Answer**

C

**Question. If the mean of ‘n’ observations, 1 ^{2} , 2^{2} , 3^{2} ,…….n^{2 }is 46n/11 , find the value of ‘n’. **

(a) 22

(b) 23

(c) 12

(d) 11

**Answer**

D

**Question. The given data are the times (in minutes), it takes seven students to go to school from their homes. Which statement about the data is false? 26 **

(a) Their median is 11.

(b) Their mean is 11.

(c) Their range is 16.

(d) Their mode is 6.

**Answer**

A

**Question. From a series of 50 observations, an observation 45 is dropped, but the mean remains the same. What was the mean of 50 observations? **

(a) 50

(b) 49

(c) 45

(d) 40

**Answer**

C

**Question. If x is the mean of x _{1} ,x_{2} , ……xn ‘ find the mean of (x_{1} + 2a ),(x_{2} + 2a ),(x_{3} + 2a ),…..(x_{n} + 2a) . **

(a) ¯x + 2a

(b) ¯x – 2a

(c) ¯x + 2a

(d) ¯x/2 + 2a

**Answer**

A

**Question. If the mean of first ‘n’ odd natural numbers is ‘n’ itself, what is the value of ‘n’? **

(a) 2

(b) 3

(c) 1

(d) Any natural number

**Answer**

D

**Question. The mean of 9, 11, 13, p, 18 and 19 is p. Find the value of ‘p’. **

(a) 12

(b) 13

(c) 14

(d) 15

**Answer**

C

**Question. If 10, 13,15,18,( x +1),(x +3),30,32,35 and 41 are ten observations in the ascending order with median 24, find the value of ‘x’. **

(a) 42

(b) 22

(c) 10

(d) 32

**Answer**

B

**Question. The mean of 10 numbers is 7. If each number is multiplied by 12, find the mean of new set of numbers. **

(a) 82

(b) 48

(c) 78

(d) 84

**Answer**

D

**Question. The mean of six numbers is 23. If one of the numbers is excluded, the mean of the remaining numbers is 20. Find the excluded number. **

(a) 138

(b) 100

(c) 20

(d) 38

**Answer**

D

**Question. The mean of 150 items was found to be 60. Later on, it was discovered that the values of two items were taken as 52 and 8 instead of 152 and 88 respectively. Find the correct mean. **

(a) 6.15

(b) 60.7

(c) 61.2

(d) 6.72

**Answer**

C

**Question. Given that x is the mean of x _{1} , x_{2} …….x_{n}‘ find the mean of x_{1}/a , x_{2}/a , ….x_{n}/a . **

(a)¯x – a

(b) ¯x

(c) a¯x

(d) ¯x/a

**Answer**

D

**Question. In the frequency distribution, discrete data is given. **

**If the mean is 2.5, what is the value of frequency’ x ‘ ?**

(a) 0

(b) 1

(c) 3

(d) 4

**Answer**

D

**Question. Find the mean of the first six prime numbers. **

(a) 68.3

(b) 6.71

(c) 7

(d) 6.83

**Answer**

D

**Question. If x _{1} , x_{2} , ….x_{3} are ‘n’ observations such that **

**find ‘n’.**

(a) 40

(b) 20

(c) 60

(d) 70

**Answer**

B

**Question. The numbers 4 and 9 have frequencies x and (x -1) respectively. If their arithmetic mean is 6, what is the value of’ x ‘ ? **

(a) 2

(b) 3

(c) 4

(d) 5

**Answer**

B

**Question. What is the mean of the first ‘n’ natural numbers? **

(a) n + 1/2

(b) n(n +1)

(c) 1/2(n +1)

(d) (n +1)/2n

**Answer**

C

**Question. The mean weight of seven boys is 56 kg. Individual weights of six boys (in kg) are 52,57,55,60,59 and 55 respectively. Find the weight of the seventh boy. **

(a) 52 kg

(b) 54 kg

(c) 57 kg

(d) 59 kg

**Answer**

B

**Question. Which of the following is true about the mode of a given data? **

(a) It may or may not exist for a given data.

(b) It is always unique.

(c) It is very difficult to compute mode.

(d) We cannot calculate mode without the empirical formula.

**Answer**

A

**Question.** In a class of 19 students, 7 boys failed in a math test. The scores of those who passed are 12,15,17,15,16,15,19,19,17,18,18 and 19 marks. What is the median marks of the 19 students in the class?

(a) 15

(b) 12

(c) 16

(d) 19

## **Answer**

A

**Question.** The mean of the scores x_{1}, x_{2} ,….., x_{6 }is x . What is the mean of the scores 5x_{1 },5x_{2} ,…..,5x_{6} ?

(a) x + 5

(b) x/5

(c) x – 5

(d) 5x

## **Answer**

D

**Question.** If the ratio of mean and median of a certain data is 2:3, what is the ratio of its mode and mean?

(a) 3 : 2

(b) 5 : 2

(c) 3 : 5

(d) 2 : 3

## **Answer**

B

**Question.** If for a given data median is 125.6 and mean is 128, find mode.

(a) 120.8

(b) 128.0

(c) 108.2

(d) 180.2

## **Answer**

A

**Question. What is the arithmetic mean of 30 20 32 16 and 27?**

(a) 23

(b) 24

(c) 25

(d) 26

## **Answer**

C