Find the median of the following data. Class interval 0 - 20 20 - 40 40 - 60 60 - 80 80 - 100 Frequency 9 16 24 15 4
47.5
To find the median, we first need to find the cumulative frequency.
Cumulative Frequency: 9, 25, 49, 64, 68
N = 68 N/2 = 34
The median class is the class interval where the cumulative frequency is greater than or equal to N/2.
In this case, it is the 40-60 class interval.
Median = L + [(N/2 - cf)/f] * h
L = Lower limit of the median class = 40 cumulative frequency (cf) = 25 f = frequency of the median class = 24 h = class width = 20
Median = 40 + [(34 - 25)/24] * 20 = 40 + (9/24) * 20 = 40 + 7.5 = 47.5
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