Question

A survey regarding the heights (in cm) of 51 girls of Class X of a school was conducted, and the following data was obtained:

Find the median height.

Answer 1

We have n = 51

So, n/2 = 51/2 = 25.5

The cumulative Frequency just greater than n/2 is 29 then the median class is 145-150 such that

the lower limit (l) = 145

cumulative frequency of the class preceding 145-150 (cf) = 11

frequency of the median class 145-150 = 18,

class size (h) = 5

Using the formula,

= 145 + 4.027

= 149.03

So, the median height of the girls is 149.03cm