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Statistics Practice Questions, Exercises of Statistics

Statistics Mathematics Practice Questions

Typology: Exercises

2021/2022

Uploaded on 06/07/2025

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Prepared by: M. S. KumarSwamy, TGT(Maths) Page - 1-
PRACTICE QUESTIONS (STATISTICS)
CLASS: X : MATHEMATICS
1. Calculate mode of the following data:
Marks
0
โ€“
20
20
โ€“
40
40
โ€“
60
60
โ€“
80
80
โ€“
No. of Students
5
10
12
6
3
Ans:
2. Calculate median marks of the following data:
Marks 0 โ€“ 10 10 โ€“ 20 20 โ€“ 30 30 โ€“ 40 40 โ€“ 50
No. of Students
2
12
22
8
6
Ans:
3. Calculate mode of the following data:
Marks 0 โ€“ 6 6 โ€“ 12 12 โ€“ 18 18 โ€“ 24 24 โ€“ 30
No. of Students
7
5
10
12
6
Ans:
4. Calculate median marks of the following data:
Class
intervals 20 โ€“
40 40 โ€“
60 60 โ€“
80 80 โ€“
100 100 โ€“
120 120 โ€“
140 140 โ€“
160
Frequency 12 18 23 15 12 12 8
Ans:
pf3
pf4
pf5
pf8

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PRACTICE QUESTIONS (STATISTICS)

CLASS: X : MATHEMATICS

1. Calculate mode of the following data: Marks 0 โ€“ 20 20 โ€“ 40 40 โ€“ 60 60 โ€“ 80 80 โ€“ 100 No. of Students 5 10 12 6 3 Ans: 2. Calculate median marks of the following data: Marks 0 โ€“ 10 10 โ€“ 20 20 โ€“ 30 30 โ€“ 40 40 โ€“ 50 No. of Students 2 12 22 8 6 Ans: 3. Calculate mode of the following data: Marks 0 โ€“ 6 6 โ€“ 12 12 โ€“ 18 18 โ€“ 24 24 โ€“ 30 No. of Students 7 5 10 12 6 Ans: 4. Calculate median marks of the following data: Class intervals

Frequency 12 18 23 15 12 12 8 Ans:

5. The data on number of patients attending a hospital in a month are given below. Find the average number of patients attending the hospital in a day. No. of patients 0 โ€“ 10 10 โ€“ 20 20 โ€“ 30 30 โ€“ 40 40 โ€“ 50 50 โ€“ 60 No. of days 2 6 9 7 4 2 Ans: 6. The arithmetic mean of the following frequency distribution is 50. Find the value of p. Class 0 โ€“ 20 20 โ€“ 40 40 โ€“ 60 60 โ€“ 80 80 โ€“ 100 frequency 17 p 32 24 19 Ans:

10. The mode of the following frequency distribution is 34.5. Find the value of x. Class 0 โ€“ 10 10 โ€“ 20 20 โ€“ 30 30 โ€“ 40 40 โ€“ 50 Frequency 4 8 10 x 8 Ans: Here, mode = 34.5. So, modal class is 30 โ€“ 40, f 1 = x, f 0 = 10 and f 2 = 8 1 0 (^21 0 ) f f Mode l h f f f ๏ƒฆ (^) ๏€ญ ๏ƒถ ๏€ฝ ๏€ซ (^) ๏ƒง ๏ƒท๏‚ด ๏ƒจ ๏€ญ^ ๏€ญ ๏ƒธ 10 34.5 30 10 2 10 8 x x ๏ƒฆ ๏€ญ ๏ƒถ ๏ƒž ๏€ฝ ๏€ซ (^) ๏ƒง ๏ƒท๏‚ด ๏ƒจ ๏€ญ^ ๏€ญ ๏ƒธ 10 10 4.5 10 4.5 10 2 18 2( 9) x x x x ๏ƒฆ ๏€ญ^ ๏ƒถ ๏€ญ ๏ƒž ๏€ฝ (^) ๏ƒง ๏ƒท๏‚ด ๏ƒž ๏€ฝ ๏‚ด ๏ƒจ ๏€ญ^ ๏ƒธ ๏€ญ 4.5 2 10 9 10 10 9 10 9 x x x x ๏‚ด ๏€ญ ๏€ญ ๏ƒž ๏€ฝ ๏ƒž ๏€ฝ ๏€ญ ๏€ญ โ‡’ 9(x โˆ’ 9) = 10(x โˆ’ 10) โ‡’ 9x โˆ’ 81 = 10x โ€“ 100 โ‡’ 10x โˆ’ 9x = 100 โ€“ 81 โ‡’ x = 19 11. Find the median of the following frequency distribution: More than or equal to

frequency 0 12 27 60 105 124 141 150 Ans:

12. The median of the distribution given below is 14.4. Find the values of x and y, if the sum of frequency is 20. Class Interval 0 โ€“ 6 6 โ€“ 12 12 โ€“ 18 18 โ€“ 24 24 โ€“ 30 Frequency 4 x 5 y 1 Ans:

13. Find the median income of the following frequency distribution: Weekly Income (Rs.)

Frequency 250 190 100 40 15 5 Ans:

14. The arithmetic mean of the following frequency distribution is 50. Find the value of p. Class 0 - 20 20 - 40 40 - 60 60 - 80 80 - 100 Frequency 17 p 32 24 19 15. Find โ€˜pโ€™ if the mean of the given data is 15.45. Class Interval 0 โ€“ 6 6 โ€“ 12 12 โ€“ 18 18 โ€“ 24 24 โ€“ 30 Frequency 6 8 p 9 7

19. A survey regarding the heights (in cm) of 50 girls of class Xth of a school was conducted and the following data was obtained. Find the mean, median and mode of the given data. Heights (in cm) 120 โ€“ 130 130 โ€“ 140 140 โ€“ 150 150 โ€“ 160 160 โ€“ 170 No. of Girls 2 8 12 20 8 Ans: 20. Find mean, median and mode of the following data: Marks 0 โ€“ 20 20 โ€“ 40 40 โ€“ 60 60 โ€“ 80 80 โ€“ 100 100 โ€“ 120 120 โ€“ 140 No. of Students 6 8 10 12 6 5 3 Ans: