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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 ๏ฆ (^) ๏ญ ๏ถ ๏ฝ ๏ซ (^) ๏ง ๏ท๏ด ๏จ ๏ญ^ ๏ญ ๏ธ 10 34.5 30 10 2 10 8 x x ๏ฆ ๏ญ ๏ถ ๏ ๏ฝ ๏ซ (^) ๏ง ๏ท๏ด ๏จ ๏ญ^ ๏ญ ๏ธ 10 10 4.5 10 4.5 10 2 18 2( 9) x x x x ๏ฆ ๏ญ^ ๏ถ ๏ญ ๏ ๏ฝ (^) ๏ง ๏ท๏ด ๏ ๏ฝ ๏ด ๏จ ๏ญ^ ๏ธ ๏ญ 4.5 2 10 9 10 10 9 10 9 x x x x ๏ด ๏ญ ๏ญ ๏ ๏ฝ ๏ ๏ฝ ๏ญ ๏ญ โ 9(x โ 9) = 10(x โ 10) โ 9x โ 81 = 10x โ 100 โ 10x โ 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 โpโ 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:
