Question

Find the median class of the following distribution:

Class	$$0-10$$	$$10-20$$	$$20-30$$	$$30-40$$	$$40-50$$	$$50-60$$	$$60-70$$
Frequency	$$4$$	$$4$$	$$8$$	$$10$$	$$12$$	$$8$$	$$4$$

Answer 1

First we find the cumulative frequency

Classes	Frequency	Cumulative Frequency
$$0-10$$	$$4$$	$$4$$
$$10-20$$	$$4$$	$$8$$
$$20-30$$	$$8$$	$$16$$
$$30-40$$	$$10$$	$$26$$
$$40-50$$	$$12$$	$$38$$
$$50-60$$	$$8$$	$$46$$
$$60-70$$	$$4$$	$$50$$
Total	$$50$$

Here, $$\dfrac{n}{2}=\dfrac{50}{2}=25$$
$$\therefore$$ Median class $$=30-40$$.