CBSE Class 11 Mathematics Chapter 15 Statistics Multiple Choice Questions with Answers. MCQ Class 11 Mathematics Statistics with Answers was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 11 Mathematics Statistics MCQs with Answers to know their preparation level.
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MCQ Class 11 Mathematics Statistics with Answers - Set - 5
Question 1:
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.
Correct Answer – (B)
Hint :
The coefficient of variation = S.D./Mean
Question 2 :
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
Correct Answer – (D)
The mean of 1, 3, 4, 5, 7, 4 is m
⇒ (1 + 3 + 4 + 5 + 7 + 4)/6 = m
⇒ m = 24/6
⇒ m = 4
The numbers 3, 2, 2, 4, 3, 3, p have mean m – 1
⇒ (3 + 2 + 2 + 4 + 3 + 3 + p)/7 = m – 1
⇒ (17 + p)/7 = 4 – 1
⇒ (17 + p)/7 = 3
⇒ 17 + p = 7 × 3
⇒ 17 + p = 21
⇒ p = 21 – 17
⇒ p = 4
The numbers 3, 2, 2, 4, 3, 3, p have median q.
⇒ The numbers 2, 2, 3, 3, 3, 4, 4 have median q
⇒ (7 + 1)/2 th term = q
⇒ 4th term = q
⇒ q = 3
Now p + q = 4 + 3 = 7
Question 3 :
If the varience of the data is 121 then the standard deviation of the data is
(a) 121
(b) 11
(c) 12
(d) 21
Correct Answer – (B)
Given, varience of the data = 121
Now, the standard deviation of the data = √(121)
= 11
Question 4 :
The variance of first n natural numbers is :
(a) n2+1 / 12
(b) (n + 1)(2n + 1) /6
(c) n2+n / 12
(d) n2-1 / 12
Correct Answer – (D)
Question 5 :
Find the mode from the data given below:
Marks obtained 0 – 5 5 – 10 10 – 15 15 – 20 20 – 25 25 – 30
No. of students 18 20 25 30 16 14
(a) 16.1
(b) 16.2
(c) 16.7
(d) 16.3
Correct Answer – (D)
MCQ Class 11 Mathematics Statistics with Answers
Question 6 :
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
Correct Answer – (A)
Given the difference of mode and median of a data is 24
⇒ Mode – Median = 24
⇒ Mode = Median + 24
Now, Mode = 3 × Median – 2 × Mean
⇒ Median + 24 = 3 × Median – 2 × Mean
⇒ 24 = 3 × Median – 2 × Mean – Median
⇒ 24 = 2 × Median – 2 × Mean
⇒ Median – Mean = 24/2
⇒ Median – Mean = 12
Question 7 :
The mean deviation from the mean for the following data: 4, 7, 8, 9, 10, 12, 13 and 17 is
(a) 2
(b) 3
(c) 4
(d) 5
Correct Answer – (B)
Mean = (4 + 7 + 8 + 9 + 10 + 12 + 13 + 17)/10 = 80/10 = 8
|xi – mean|= |4 – 10| + |7 – 10| + |8 – 10| + |9 – 10| + |10 – 10| + |12 – 10| + |13 – 10| + |17 – 10|
= 6 + 3 + 2 + 1 + 0 + 2 + 3 + 7 = 24
Now, mean deviation form mean = 24/8 = 3
Question 8 :
The standard deviation of 35, 40, 42, 36, 27 :
(a) 25.8
(b) 26.9
(c) 26.8
(d) 27.8
Correct Answer – (C)
Question 9 :
If the mean of four observations is 20 and when a constant c is added to each observation, the mean becomes 22. The value of c is :
(a) – 2
(b) 2
(c) 4
(d) 6
Correct Answer – (B)
Question 10 :
If the mean of n observations 12, 22, 32….,n2 is 46n /,11 then n is equal to
(a) 11
(b) 12
(c) 23
(d) 22
Correct Answer – (A)
- NCERT Solutions Class 11 Mathematics Statistics with Answers : Exercise 15.1
- NCERT Solutions Class 11 Mathematics Statistics with Answers : Exercise 15.2
- NCERT Solutions Class 11 Mathematics Statistics with Answers : Exercise 15.3
- NCERT Solutions Class 11 Mathematics Statistics with Answers : Exercise 15.4
- NCERT Solutions Class 11 Mathematics Statistics with Answers : Exercise 15 Misc
- NCERT Solutions Class 11 Mathematics Statistics with Answers : Exercise 15.1
- NCERT Solutions Class 11 Mathematics Statistics with Answers : Exercise 15.2
- NCERT Solutions Class 11 Mathematics Statistics with Answers : Exercise 15.3
- NCERT Solutions Class 11 Mathematics Statistics with Answers : Exercise 15 Misc
- NCERT Solutions Class 11 Mathematics Textbook download
