**MCQs Questions for Class 11 Maths Chapter 15 Statistics**

In this 21^{st} century, Multiple Choice Questions (MCQs) play a vital role to prepare for a competitive examination. CBSE board has also brought a major change in its board exam patterns. In most of the competitive examinations, only MCQ Questions are asked.

In future, if you want to prepare for competitive examination, then you should focus on the MCQs questions. Thus, let’s solve these MCQs questions to make our foundation strong.

In this post, you will find **15** **MCQs questions for class 11 maths chapter 15 statistics**.

**MCQs Questions for Class 11
Maths Chapter 15 Statistics**

**1.** What is the mean deviation from the mean for
the following data?

117 156
206 198 223

(a) 0

(b) 3

(c) 1

(d) ½

**Answer: a**

**2. **The algebraic sum of the deviation of 20 observations measured
from 30 is 2. So, the mean of observations is

(a) 30.0

(b) 30.1

(c) 30.2

(d) 30.3

**Answer: b**

**3. **The mean deviation of an ungrouped data is 150. If each
observation is increased by 3.5%, then what is the new mean deviation of the
data?

(a) 153.5

(b) 3.5

(c) 155.25

(d) 150

**Answer: c**

**4. **The coefficient of variation is computed by

(a) S.D/.Mean×100

(b) S.D./Mean

(c) Mean./S.D×100

(d) Mean/S.D.

**Answer: b**

**5. **Find the mean deviation from mean of the observations: *a, a + d, …., (a + 2nd)*.

(a) n(n + 1)d^{2/3}

(b) n(n + 1)d^{2}/2

(c) a + n(n + 1)d^{2}/2

(d) n(n + 1)d/(2n + 1)

**Answer: d**

**6. **If mode of a series exceeds its mean by 12, then mode exceeds
the median by

(a) 4

(b) 8

(c) 6

(d) 12

**Answer: b**

**7. **If the standard deviation of a data is 0.012 then the
variance is

(a) 0.144

(b) 0.00144

(c) 0.000144

(d) 0.0000144

**Answer: c**

**8. **Range of the data: 4, 7, 8, 9, 10, 12, 13 and 17 is

(a) 4

(b) 17

(c) 13

(d) 21

**Answer: c**

**9. **Find the variance of the first 10 natural numbers.

(a) 7.25

(b) 7

(c) 8.25

(d) 8

**Answer: c**

**10. **If the difference of mode and median of a data is 24, then
the difference of median and mean is

(a) 12

(b) 24

(c) 8

(d) 36

**Answer: a**

**11. **Assuming that the variance of four numbers w, x, y and z as
9, find the variance of 5w, 5x, 5y and 5z.

(a) 225

(b) 5/9

(c) 9/5

(d) 54

**Answer: a**

**12. **If the variance of the data is 121, then the standard
deviation of the data is

(a) 121

(b) 11

(c) 12

(d) 21

**Answer: b**

**13. **The S.D. of a set of observations is 4. If each observation
is divided by 4, then the S.D. of the new observations is

(a) 4

(b) 3

(c) 2

(d) 1

**Answer: d**

**14. **If covariance between two variables is 0, then the
correlation coefficient between them is

(a) nothing can be said

(b) 0

(c) positive

(d) negative

**Answer: b**

**15.** If the standard deviation of a data is 820 and mean of
the data is 50, then the coefficient of the variation is

(a) 16.4

(b) 164

(c) 1640

(d) 1.64

**Answer: a**