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Question

Weight (in kg)40 - 44 44 - 48 48 - 52 52 - 56 56 - 60 60 - 64 64 - 68 68 - 72
Number of students 4 6 10 14 10 8 6 2
The following distribution gives that weights of 60 students of a class. Find the mean and mode weights of the students.

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Solution

Weight

Number of students

xi

fixi

40-44

4

42

168

44-48

6

46

276

48-52

10

50

500

52-56

14

54

756

56-60

10

58

580

60-64

8

62

496

64-68

6

66

396

68-72

2

70

140

fi=60

fixi=3312

Mean=fixifi=331260=55.2Mode=l+(f1f02f1f0f2)×h=52+(1410281010)×4=52+48×4=54Ans.

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