Question

The lengths of 40 leaves of a plant are measured correct to the nearest millimeter, and the data obtained is represented in the following table:

Answer 1

: The given data is not having continuous class intervals. So, we have to add and subtract 0.5 to upper class limit and lower class limit.

Median class = 144.5-153.5 

l = 144.5, h = 9, f = 12 and F = 17

Median = l + \(\frac{\frac{N}{2}-F}{f}\times h\)

\(=144.5+(\frac{20-17}{12})\times h\)

\(=144.5+\frac{9}{4}\)

= 146.75 

So, median length is 146.75 mm.