The distribution below gives the weights of 100 students of a class.
Weight (in kg) Number of Students 25
20-30. 25
30-40. 15
40-50 10
60-70. 6
70-80. 24
80-90. 8
Based on above data, answer the following questions :
Find its median
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Answer:
Median = 1 + xh
n = Ef = 30
72 2 30 2 = 15
:: 55-60 is the median class
1 = lower limit of median class = 55
h = class-interval = 45-40 = 5
cf = cumulative frequency of the class before median class = 13
f = frequency of the median class = 6
Weight (in kg)
40 - 45
45 - 50
50 55
55 - 60
60 - 65
65 - 70
70-75
Number of
students ()
2
3
8
6
6
3
2
Σf= 30
Cumulative
frequency
2
2 + 3 = 5
5 + 8 = 13
13 + 6 = 19
19 + 6 = 25
25 + 3 = 28
28 + 2 = 30
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