Question

Production yield $\left(kg/ha\right)$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$
Number of farms	$10$	$15$	$30$	$32$	$8$	$5$

Construct a less than type ogive and hence find its median.

Answer 1

$\Rightarrow$ Now, we are going to form less than frequency distribution table :

$Productionyield\left(kg/ha\right)$	$No.offarms$
Less than $20$	$10$
Less than $30$	$10+15=25$
Less than $40$	$25+30=55$
Less than $50$	$55+32=87$
Less than $60$	$87+8=95$
Less than $70$	$95+5=100$

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

We are going to draw horizontal line from $50$ on $y-axis$ and draw vertical from where it touches curve.

The point at which line touches $x-axis$ is our median.

$\therefore$ $Median=38$