# MCQs For NCERT Class 9 Mathematics Chapter 14 Statistics

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 ui = xi – 25/10, Σfiui = 20, Σfi = 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