Find the median of the following data:
First, let us make a cumulative frequency distribution of less than type.
In this case,
Sum of all frequencies, n = 53
Now, we know the median class is whose cumulative frequency is greater than and nearest to .
As, a Cumulative frequency greater than and nearest to 26.5 is 29, the median class is 60 - 70.
Median
where l = lower limit of median class,
n = number of observations,
cf = cumulative frequency of class preceding the median class,
f = frequency of median class,
h = class size
In this case,
l = 60
n = 53
cf = 22
f = 7
h = 10
Putting values, we get,
Median