5. The following frequency distribution shows
the weight of students in a class.
Weight 40 45 50 55 60 65
(in kg)
Number of 15 40 29 21 10 15
Students
a) Find the percentage of students whose
weight is more than 50 kg.
b) If the weight column provided is of mid
values then find the percentage of students
whose weight is more than 50 kg.
Answers
Given : frequency distribution
weight of students in a class. (in kg)
Weight 40 45 50 55 60 65
Number of Students 15 40 29 21 10 15
To Find : a) Find the percentage of students whose weight is more than 50 kg.
b) If the weight column provided is of mid values then find the percentage of students whose weight is more than 50 kg.
Solution:
Weight numbers
40 15
45 40
50 29
55 21
60 10
65 15
Total 130
students whose weight is more than 50 kg.
55 , 60 & 65 kg
= 21 + 10 + 15
= 46
percentage of students whose weight is more than 50 kg. = (46/130) * 100
= 35.38 %
Weight numbers
37.5 - 42.5 15
42.5 - 47.5 40
47.5 - 52.5 29
52.5 - 57.5 21
57.5 - 62.5 10
62.5 - 67.5 15
Total 130
students whose weight is more than 50 kg.
= 14 + 21 + 10 + 15 = 60
percentage of students whose weight is more than 50 kg. = (60/130) * 100
= 46.15 %
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