# MCQ Questions for Class 11 Maths Chapter 15 Statistics with answers

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Below you will find MCQ Questions of Chapter 15 Statistics Class 11 Maths Free PDF Download that will help you in gaining good marks in the examinations and also cracking competitive exams. These Class 11 MCQ Questions with answers will widen your skills and understand concepts in a better manner.

# MCQ Questions for Class 11 Maths Chapter 15 Statistics with answers

1. The two lines of regression are 2x - 7y + 6 = 0 and 7x – 2y +1 = 0. What is correlation coefficient between x and y ?

(a) 4/49

(b) - 2/7

(c) 2/7

(d) None of these

► (c) 2/7

2. The mean weight of a group of 10 items is 28 and that of another group of n items is 35.The mean of combined group of 10 + n items is found to be 30. The value of n is

(a) 12

(b) 10

(c) 4

(d) 2

► (c) 4

3. The mean of 5 observations is 4.4 and their variance is 8.24. If three observations are 1,2 and 6, the other two observations are

(a) 4 and 8

(b) 5 and 7

(c) 5 and 9

(d) 4 and 9

► (d) 4 and 9

4. The coefficient of correlation r satisfies

(a) I r I ≤ 1

(b) 0 < r < 1

(c) I r I > 1

(d) − 1 < r < 0

► (a) I r I ≤ 1

5. For a moderately skewed distribution, quartile deviation and the standard deviation are related by

(a) S.D. = 3/2 Q.D.

(b) S.D = 3/4 Q.D.

(c) S.D. = 4/3 Q.D.

(d) S.D. = 2/3 Q.D.

► (a) S.D. = 3/2 Q.D.

6. The mean deviation about the mean for the following data 3, 7, 8, 9, 4, 6, 8, 13, 12, 10 is:

(a) 5

(b) 3

(c) 2

(d) 2.4

► (d) 2.4

7. S.D. of a data is 6. When each observation is increased by 1, then the S.D. of new data is

(a) 8

(b) 6

(c) 5

(d) 7

► (b) 6

8. The mean deviation of the following data 14, 15, 16, 17, 13 is:

(a) 4

(b) 2.3

(c) 3

(d) 1.2

► (d) 1.2

9. If the two lines of regression of a bivariate distribution coincide, then the correlation coefficient ρρsatisfies.

(a) ρ = 0

(b) ρ > 0

(c) ρ = 1 or −1

(d) ρ < 0

► (c) ρ = 1 or −1

10. The variance of data: 0,10,20,30,40,50

(a) 291.67

(b) 290

(c) 230

(d) 12

► (a) 291.67

11. The arithmetic mean of the numerical values of the deviations of items from some average value is called the

(a) Standard deviation

(b) Range

(c) Quartile deviation

(d) Mean deviation

► (d) Mean deviation

12. For a given data, the variance is 15. If each observation is multiplied by 2, what is the new variance of the resulting observations?

(a) 15

(b) 60

(c) 30

(d) 7.5

► (b) 60

13. Which of the following, in case of a discrete data, is not equal to the median?

(a) 5th decile

(b) 2nd quartile

(c) lower quartile

(d) 50th percentile

► (c) lower quartile

14. A batsman scores runs in 10 innings as 38,70,48,34,42,55,63,46,54 and 44 , then the mean score is

(a) 4.94

(b) 49.4

(c) 494

(d) 0.494

► (b) 49.4

15. If the mean of the first n odd natural numbers be n itself, then n is equal to

(a) 3

(b) any natural number

(c) 2

(d) 1

► (b) any natural number

16. The two lines of regression are x + 4y = 3 and 3x +y = 15. value of x for y = 3 is

(a) - 4

(b) 4

(c) - 9

(d) None of these

► (b) 4

17. Which one of the following average is most affected of extreme observations ?

(a) Median

(b) Mode

(c) G.M.

(d) A. M.

► (d) A. M.

18. If the mean of numbers 27,31,89,107,156 is 82, then the mean of 130,126,68,50,1 is :

(a) 75

(b) 82

(c) 80

(d) 157

► (a) 75

19. A man travels at a speed of 20 km/hour and then return at a speed of 30 km/hour. His average speed of the whole journey is

(a) 24 km/hour

(b) 26 km/hour

(c) 25 km/hour

(d) 24.5 km/hour

► (a) 24 km/hour

20. The statistical method which helps us to estimate or predict the unknown value of one variable from the known value of the related variable is called

(a) correlation

(b) regression

(c) scatter diagram

(d) dispersion

► (b) regression

21. The measure of variation which is least affected by extreme items is

(a) standard deviation

(b) mean deviation

(c) range

(d) quartile deviation

► (d) quartile deviation

22. If mean = (3 median – mode) x , then the value of x is

(a) 1

(b) 1/2

(c) 3/2

(d) 2

► (b) 1/2

Hope the given MCQ Questions will help you in cracking exams with good marks. These Statistics MCQ Questions will help you in practising more and more questions in less time.