CBSE Class 10 Maths Chapter-14 Statistics – Free PDF Download
Free PDF download of Important Questions with Answers for CBSE Class 10 Maths Chapter 14 – Statistics prepared by expert Maths teachers from latest edition of CBSE(NCERT) books only by CoolGyan to score more marks in CBSE board examination.
CBSE Class 10 Maths Chapter-14 Statistics Important Questions
CBSE Class 10 Maths Important Questions Chapter 14 – Statistics
1 Mark Questions
1. 
and mean of any distribution is 3, then p =
(a) 2
(b) 3
(c) 4
(d) 5
Ans. (b) 3
2. For what value of 
, the mode of the following data is 8:
4, 5, 6, 8, 5, 4, 8, 5, 6, x, 8
(a) 5
(b) 6
(c) 8
(d) 4
Ans. (c) 8
3. The numbers are arranged in ascending order. If their median is 25, then x =
5, 7, 10, 12, 2x-8, 2x+10, 35, 41, 42, 50
(a) 10
(b) 11
(c) 12
(d) 9
Ans. (c) 12
4. The median for the following frequency distribution is
| X | 6 | 7 | 5 | 2 | 10 | 9 | 3 |
| F | 9 | 12 | 8 | 13 | 11 | 14 | 7 |
(a) 6
(b) 5
(c) 4
(d) 7
Ans. (a) 6
5. In the formula 
for finding the mean of grouped frequency distribution, h =
(a) 
(b) 
(c) 
(d) 
Ans. (c)
6. While computing mean of grouped data, we assume that the frequencies are
(a) evenly distributed over all the class
(b) centered at the class marks of the class
(c) centered the upper limits of the class
(d) centered the lower limits of the class
Ans. (b) centered at the class marks of the class
7. If 
and mean = 7, then P=
(a) 12
(b) 13
(c) 14
(d) 15
Ans. (c) 14
8. If the value of mean and mode are respectively 30 and 15, then median =
(a) 22.5
(b) 24.5
(c) 25
(d) 26
Ans. (c) 25
9. The wickets taken by a bowler in 10 cricket matches are as follows
2, 6, 4, 5, 0, 2, 1, 3, 2, 3
Find the mode of the data.
(a) 1
(b) 4
(c) 2
(d) 3
Ans. (c) 2
10. Mean of the following data is
| Class Interval | 50-60 | 60-70 | 70-80 | 80-90 | 90-100 |
| Frequency | 8 | 6 | 12 | 11 | 13 |
(a) 76
(b) 77
(c) 78
(d) 80
Ans. (c) 78
11. Construction of a cumulative frequency table is useful in determining the
(a) Mean
(b) Median
(c) Mode
(d) all these conditions
Ans. (b) Median
12. In the following distribution of the heights of 60 students of a class
| Height (inch) | 150-155 | 155-160 | 160-165 | 165-170 | 170-175 | 175-180 |
| No. of students | 15 | 13 | 10 | 8 | 9 | 5 |
The sum of the lower limit of the modal class and upper limit of the median class is
(a) 310
(b) 315
(c) 320
(d) 330
Ans. (b) 315
13. Choose the correct answer from the given four options in the formula 
For finding the mean of grouped data di’s are deviations from a of
(a) lower limits of the classes
(b) Upper limits of the classes
(c) Mid points of the classes
(d) Frequencies of the class marks
Ans. (c) Mid points of the classes
14. If mean of the distribution is 7.5, then p=
| X | 3 | 5 | 7 | 9 | 11 | 13 |
| F | 6 | 8 | 15 | P | 8 | 4 |
(a) 2
(b) 4
(c) 3
(d) 6
Ans. (c) 3
15. A shoe shop in Agra had sold hundred pairs of shoes of particular brand in a certain day with the following distribution.
| Size of the shoes | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| No. of pairs sold | 1 | 4 | 3 | 20 | 45 | 25 | 2 |
Find mode of the destitution.
(a) 20
(b) 45
(c) 1
(d) 3
Ans. (b) 45
16. If the mode of a data is 45 and mean is 27, then median is
(a) 30 (b) 27
(c) 33 (d) None of these
No. of pairs sold 1 4 3 20 45 25 2
Find mode of the destitution.
(a) 20 (b) 45 (c) 1 (d) 3
Ans. (c) 1
17. If 
are the mid-points of the class intervals of grouped data, 
are the corresponding frequency and 
is the mean, then 
is equal to
(a) 0
(b) -1
(c) 1
(d)2
Ans. (a) 0
18. Mode of the following data is
| Class Interval | 0-20 | 20-40 | 40-60 | 60-80 | 80-100 |
| Frequency | 12 | 7 | 6 | 16 | 6 |
(a) 65
(b) 66
(c) 75
(d) 70
Ans. (d) 70
19. Median of the following data is
| Class | 0-500 | 500-1000 | 1000-1500 | 1500-2000 | 2000-2500 |
| Frequency | 4 | 6 | 10 | 5 | 3 |
(a) 1000
(b) 1100
(c) 1200
(d) 1150
Ans. (c) 1200
20. If the median of the distribution is 28.5, find the value of x.
| Class Interval | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | Total |
| Frequency | 5 | x | 20 | 15 | 7 | 5 | 60 |
(a) 8
(b) 10
(c) 4
(d) 9
Ans. (a) 8