CBSE Class 10 Mathematics Chapter 14 Statistics Multiple Choice Questions with Answers. MCQ Class 10 Maths Statistics with Answers was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 10 Mathematics Statistics MCQs with Answers to know their preparation level.
Multiple Choice Questions - Set - 3
Question 1:
The median from the table is
| Value | Frequency |
| 7 | 2 |
| 8 | 1 |
| 9 | 4 |
| 10 | 5 |
| 11 | 6 |
| 12 | 1 |
| 13 | 3 |
(a) 11
(b) 10
(c) 12
(d) 11.5
Correct Answer – (B)
Question 2 :
If mean = (3 median – mode) . k, then the value of k is
(a) 1
(b) 2
(C) 1/2
(d) 3/2
Correct Answer – (C)
⇒ 2 mean = 3 median – mode
⇒ mean = 12 (3 median – mode)
⇒ k= 12
Question 3 :
Mode is the value of the variable which has:
(a) maximum frequency
(b) minimum frequency
(c) mean frequency
(d) middle most frequency
Correct Answer – (A)
Question 4 :
For the following distribution:
| Marks | Number of Students |
| Below 10 | 3 |
| Below 20 | 12 |
| Below 30 | 27 |
| Below 40 | 57 |
| Below 50 | 75 |
| Below 60 | 80 |
the modal class is
(a) 10 – 20
(b) 20 – 30
(c) 30 – 40
(d) 50 – 60
Correct Answer – (C)
Question 5 :
Mean of n numbers x1, x2, … xn is m. If xn is replaced by x, then new mean is
(a) m – xn + x
(b) (nm – xn + x)/n
(c) [(n – 1)m + x]/n
(d) (m – xn + x)/n
Correct Answer – (B)
Question 6 :
The median of set of 9 distinct observations is 20.5. If each of the largest 4 observations of the set is increased by 2, then the median of the new set
(a) is increased by 2
(b) is decreased by 2
(c) is two times of the original number
(d) Remains the same as that of the original set.
Correct Answer – (D)
∴ median = 5th observation
∵ The largest four observations are increased
∴ 5th observation remains unchanged.
Question 7 :
Mode and mean of a data are 12k and 15A. Median of the data is
(a) 12k
(b) 14k
(c) 15k
(d) 16k
Correct Answer – (B)
⇒ 12k = 3 median – 2 × 15k
⇒ 42k = 3 median
⇒ Median = 14k.
Question 8 :
The times, in seconds, taken by 150 atheletes to run a 110 m hurdle race are tabulated below:
| Class | Frequency |
| 13.8 – 14.0 | 2 |
| 14.0 – 14.2 | 4 |
| 14.2 – 14.4 | 5 |
| 14.4 – 14.6 | 71 |
| 14.6 – 14.8 | 48 |
| 14.8 – 15.0 | 20 |
The number of atheletes who completed the race in less then 14.6 seconds is: [NCERT Exemplar Problems]
(a) 11
(b) 71
(c) 82
(d) 130
Correct Answer – (C)
Question 9 :
In the formula
finding the mean of grouped frequency distribution, ui =
(a) (xi + a) / h
(b) h(xi – a)
(c) (xi – a)/h
(d) (a – xi) / h
Correct Answer – (C)
Question 10 :
A car travels from city A to city B, 120 km apart at an average speed of 50 km/h. It then makes a return trip at an average speed of 60 km/h. It covers another 120 km distance at an average speed of 40 km/h. The average speed over the entire 360 km will be
(a) (50 + 60 + 40)/3 km/p
(b) 
(c) 300/(50 + 60 + 40) km/h
(d) None of these
