Q. 104.1( 18 Votes )

# Let us find the m

To find median of data, we need to make a table calculating cumulative frequency.

For median:

We have, total frequency, N = 59

N/2 = 59/2 = 29.5

Observe, cf = 36 is just greater than 29.5.

Thus, median class = 30 – 40

Median is given by

Where,

L = Lower class limit of median class = 30

N/2 = 29.5

cf = cumulative frequency of the class preceding median class = 21

f = frequency of the median class = 15

h = class interval of the median class = 10

Substituting these values in the formula of median, we get

Median = 30 + 5.67

Median = 35.67

Thus, the median of data is 35.67.

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