Question

The following table shows the ages of $100$ persons of a locality.

Age (in years)	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$
Number of persons	$5$	$15$	$20$	$23$	$17$	$11$	$9$

Draw the less than ogive and find the median.

Answer 1

Age	Cumulative frequency
Less than $10$	$5$
Less than $20$	$20$
Less than $30$	$40$
Less than $40$	$63$
Less than $50$	$80$
Less than $60$	$91$
Less than $70$	$100$

$N=100$, then $\frac{N}{2}=\frac{100}{2}=50$

On $y-\text{axis}$ draw horizontal line from $50$. The point at which line touches the curve draw a vertical line from there towards $x-\text{axis}.$

The point at which line touches the $x-\text{axis}$ is the median of the data.

$\therefore$ Median $=34.34$