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We’ll convert this inclusive data into exclusive data type.

For median:

We have, total frequency, N = 40

N/2 = 40/2 = 20

Observe, cf = 29 is just greater than 20.

Thus, median class = 144.5-153.5

Median is given by

Where,

L = Lower class limit of median class = 144.5

N/2 = 20

cf = cumulative frequency of the class preceding median class = 17

f = frequency of the median class = 12

h = class interval of the median class = 9

Substituting these values in the formula of median, we get

Median = 144.5 + 9/4

Median = 144.5 + 2.25

Median = 146.75

Thus, the median is 146.75 mm.

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