Padma Seshadri Bala Bhavan Senior Secondary School, KK Nagar, Chennai

Std 10 Mathematics

Statistics – Worksheet

1. The table below gives the weight of 12 students.

Weight (in kg) 67 70 72 73 75

No. of students 4 3 2 2 1
Find the mean weight of the students.

2. Find the mean of the following distribution using direct method.

Class Interval 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50
Frequency 3 5 9 5 3

3. Find the mean of the following distribution which gives the marks secured by 140 students in an exam by
assumed mean method.

Marks 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50
No. of students 20 24 40 36 20

4. Calculate the mean of the following distribution using the step deviation method.

Weekly wages 1400 – 1500 1500 – 1600 1600 – 1700 1700 – 1800 1800 – 1900
No. of workers 15 18 21 29 17

5. Find the arithmetic mean of the following frequency distribution.

Class Interval 25 – 29 30 – 34 35 – 39 40 – 44 45 – 49 50 – 54 55 – 59
Frequency 14 22 16 6 5 3 4

6. The mean of the following distribution is 50. Find p.

Class Interval 0 – 20 20 – 40 40 – 60 60 – 80 80 – 100

Frequency 17 p 32 24 19

7. The daily expenditure of 100 families is given below. Calculate f1 and f2 if the mean daily expenditure is Rs
188.

Expenditure 140 – 160 160 – 180 180 – 200 200 – 220 220 – 240
No. of families 5 25 f1 f2 5

8. 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.
9. For what values of x, the mode of the following data is 7?
3, 5, 6, 7, 5, 4, 7, 5, 6, x, 8, 7
10. Find the mode of the following frequency distribution.

Marks 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50
No. of students 6 10 12 32 20

11. The weights of coffee in 70 packets are shown in the table.

Find the modal weight.

Expenditure 200 – 201 201 – 202 202 – 203 203 – 204 204 – 205 205 – 206
No. of families 12 26 20 9 2 1

12. The following table shows the age distribution of patients of a certain disease admitted in a year in a
particular hospital.

Age 5 – 14 15 – 24 25 – 34 35 – 44 45 – 54 55 – 64
No. of patients 6 11 21 23 14 5
 Find the average age of patients.
13. Find the missing frequency f if the mode of the following data is 154.

Class Interval 120 – 130 130 – 140 140 – 150 150 – 160 160 – 170 170 – 180
Frequency 2 8 12 f 8 7

14. The mode of the following distribution is 55. Find the values of x and y.

Class Interval 0 – 15 15 – 30 30 – 45 45 – 60 60 – 75 75 – 90 Total

Frequency 6 7 x 15 10 y 51

15. The runs scored by 11 players of a cricket team are 35, 28, 16, 30, 32, 50, 14, 45, 56, 0, 20. Find the
median score.
16. Find the median of first ten prime numbers.
17. The numbers 5, 7, 10, 12, 2x – 8, 2x + 10, 35, 41, 42, 50 are arranged in ascending order. If their
median is 25, find x.
18. Find the median for the following data.

Weight (in kg) 15 18 20 23 25 27 28 29

No. of children 6 7 10 14 13 8 3 2

19. Find the median for the following frequency distribution.

xi 60 70 50 20 100 90 30
fi 9 12 8 13 11 14 7

20. Find the median for the following data.

(a) Class Interval Frequency (b) Class Interval Frequency

0 – 10 8 10 – 20 4
10 – 20 16 20 – 30 8
20 – 30 36 30 – 40 10
30 – 40 34 40 – 50 12
40 – 50 6 50 – 60 10
60 – 70 4
70 – 80 2

21. The marks of 200 students in a test were recorded as follows. Find the median score of students.

Marks 10 – 19 20 – 29 30 – 39 40 – 49 50 – 59 60 – 69 70 – 79 80 – 89
No of
7 11 20 46 57 37 15 7
students

22. The median of the following distribution is 14.4. Find the values of x and y if the total frequency is 20.

Class Interval 0–6 6 – 12 12 – 18 18 – 24 24 – 30

Frequency 4 x 5 y 1

23. The median of the following data is 20.75. find the missing frequencies x and y if the total frequency is
100.

Class
0–5 5 – 10 10 – 15 15 – 20 20 – 25 25 – 30 30 – 35 35 – 40
Interval
Frequency 7 10 x 13 y 10 14 9

24. Find the missing frequency if the median of the data is 720.

Class Interval 500 – 600 600 – 700 700 – 800 800 – 900 900 – 1000
Frequency 40 28 35 f 25

25. Convert the following frequency distribution tables as

(i) Less than type cumulative frequency distribution.
 (ii) More than or equal to type cumulative frequency distribution.
(a)

Daily Income 100 – 120 120 – 140 140 – 160 160 – 180 180 – 200
No of workers 12 14 8 6 10
(b)

Age (in yrs) 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60 60 – 70

No of patients 60 42 55 70 53 20

26. Construct frequency distribution tables for the following data.

(a) Marks No of students (b) Marks No of students

Less than 10 14 More than or equal to 0 120
Less than 20 22 More than or equal to 20 108
Less than 30 37 More than or equal to 40 90
Less than 40 58 More than or equal to 60 75
Less than 50 67 More than or equal to 80 50
Less than 60 75 More than or equal to 100 24
More than or equal to 120 9
More than or equal to 140 0

27. Find the mean, median and mode of the following data.

Mid Value 115 125 135 145 155 165 175 185 195
Frequency 6 25 48 72 116 60 38 22 3

28. The length of 40 leaves of a plant are measured correct to the nearest millimeter and the data obtained
is represented in the following table.

Length
118 – 126 127 – 135 136 – 144 145 – 153 154 – 162 163 – 171 172 – 180
(in mm)
No of
3 5 9 12 5 4 2
leaves

29. The following frequency distribution gives the monthly consumption of electricity of 68 consumers of a
locality. Find the mean and mode of the data.

Monthly
consumptio 65 – 85 85 – 105 105 – 125 125 – 145 145 – 165 165 – 185 185 – 205
n (in units)
No of
4 5 13 20 14 8 4
consumers

30. Find the missing frequency f in the following table, if the mean of the given data is 18. Hence find the
mode.

Daily
Allowanc 11 – 13 13 – 15 15 – 17 17 – 19 19 – 21 21 – 23 23 – 25
e
No of
7 6 9 13 f 5 4
children