Question

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

Height in cm	Number of Girls
Less than 140 Less than 145 Less than 150 Less than 155 Less than 160 Less than 165	4 11 29 40 46 51

Find the median height.

Answer 1

We prepare the cumulative frequency, table as given below.

Now, we have

So,

Now, the cumulative frequency just greater than 25.5 is 40 and the corresponding class is .

Therefore, is the median class.

We know that

= 150 − 1.59
= 148.41

Hence, the median height is 148.41 cm.