# Important Questions for CBSE Class 10 Maths Chapter 14 - Statistics 1 Mark Question

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CBSE Class 10 Maths Chapter-14 Statistics Important Questions

## 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