Please refer to the MCQ Questions for Class 9 Mathematics Chapter 14 Statistics with Answers. The following Statistics Class 9 Mathematics MCQ Questions have been designed based on the latest syllabus and examination pattern for Class 9. Our experts have designed MCQ Questions for Class 9 Mathematics with Answers for all chapters in your NCERT Class 9 Mathematics book.

## Statistics Class 9 MCQ Questions with Answers

See below Statistics Class 9 Mathematics MCQ Questions, solve the questions and compare your answers with the solutions provided below.

**Question. The mean of 1, 3, 4, 5, 7, 4 is m. The numbers 3, 2, 2, 4, 3, 3, p have mean m – 1 and median q. Then, p + q =**

(A) 4

(B) 5

(C) 6

(D) 7

## Ans.

D

**Question.** The mean of six numbers is 21. If one number is excluded, then their mean is 19, the excluded number is ______.

(A) 31

(B) 26

(C) 28

(D) 25

## Ans.

A

**Question.** Find the mode for the following data.

(A) 20.22

(B) 19.47

(C) 21.12

(D) 20.14

## Ans.

A

**Question.** If 7, 2, 9 and 5 occur with frequencies 2, 3, 6 and 4 respectively, then the arithmetic mean is _____.

(A) 6.25

(B) 6.75

(C) 6.27

(D) 6.42

## Ans.

C

**Question.** Which of the following is not a measure of central tendency ?

(A) Mean

(B) Median

(C) Mode

(D) Standard deviation

## Ans.

D

**Question.** The mean of 20 observations is 12.5. By**error, one observation was noted as –15 instead of 15. Then the correct mean is _____.**

(A) 11.75

(B) 11

(C) 14

(D) 13

## Ans.

C

**Question.** The median of a given frequency distribution is found graphically with the help of ____.

(A) Histogram

(B) Frequency curve

(C) Frequency polygon

(D) Ogive

## Ans.

D

**Question.** Find the value of p, if the mean of the following data is 20.

## Ans.

B

**Question.** The mean of 9 observations is 36. If the mean of the first 5 observations is 32 and that of the last 5 observations is 39, then the fifth observation is _____.

(A) 28

(B) 31

(C) 43

(D) 37

## Ans.

B

**Question.** if u_{i} = x_{i} – 25/10, Σf_{i}u_{i} = 20, Σf_{i} = 100. then x̅ =

(A) 23

(B) 24

(C) 27

(D) 25

## Ans.

C

**Question.** The average monthly income (in ₹) of certain agricultural workers is S and that of other workers is T. The number of agricultural workers are 11 times that of other workers. Then the average monthly income (in ₹)of all the workers is ____.

(A) S + T / 2

(B) S +11T / 2

(C) 1 / 11 + T

(D) 11S + T / 12

## Ans.

D

**Question.** A bus maintains an average speed of 60 km/hr while going from P to Q and maintains an average speed of 90 km/hr while coming back from Q to P. The average speed of the bus is _____.

(A) 75 km/hr

(B) 72 km/hr

(C) 70 km/hr

(D) 30 km/hr

## Ans.

B

**Question.** The mean weight of a class of 34 students is 46.5 kg. If the weight of the teacher is included, the mean rises by 500 g. Then the weight of the teacher is _____.

(A) 175 kg

(B) 62 kg

(C) 64 kg

(D) 72 kg

## Ans.

C

**Question.** Candidates of four school appear in a mathematics test. The data is as follows:

**If the average score of the candidates of all the four schools is 66, find the number of candidates that appeared from school III.**

(A) 51

(B) 52

(C) 50

(D) 53

## Ans.

B

**Question.** The average temperature of the town in the first four days of a month was 58 degree. The average for the second, third, fourth and fifth days was 60 degree. If the temperatures of the first and fifth days were in the ratio 7 : 8, then what is the temperature on the fifth day?

(A) 64 degree

(B) 62 degree

(C) 56 degree

(D) None of these

## Ans.

A

**Question.** Fill in the blanks.

(i) For a given data with 110 observations the ‘less than ogive’ and ‘more than ogive’ intersect at (18, 20). The median of the data is **P** .

(ii) The curve is drawn by taking upper limit of class interval along x-axis and cumulating frequency along y-axis is **Q** than ogive.

(iii) The mean of 50 numbers is 18, the new mean will be **R** if each observation is increased by 4.

(iv) The mean of seven consecutive natural numbers is 20, then the largest number is **S** and smallest number of them is **T** .

P Q R S T

(A) 18 Less 22 23 17

(B) 20 More 25 22 16

(C) 18 More 22 24 18

(D) 20 Less 25 22 16

## Ans.

A

**Question.****The median of the following data is 525. Find the missing frequencies, if it is given that there are 100 observations in the data.**

(A) 8, 14

(B) 11, 17

(C) 9, 15

(D) 10, 16

## Ans.

C

**Question.** Find the mean, median and mode of the following data.

** Mean Median Mode**

(A) 50.67 62.67 64.5

(B) 60.67 52.42 64.5

(C) 62.4 61.67 65

(D) 62.4 62.42 65

## Ans.

C

**Question.** In an examination of 675 candidates of maximum marks 100 the examiner supplied the following information.

**Calculate median and mode respectively of the percentage marks obtained.**

(A) 47.58 , 46.33

(B) 49.12, 48.22

(C) 45.24, 46.22

(D) 47.58, 48.22

## Ans.

D

**Question.** Find the median for the following distribution of workers.

(A) 7.14

(B) 6.84

(C) 5.92

(D) 5.57

## Ans.

B