Question

Construct histogram of variable width for the following data.

$CI$	$0-10$	$10-15$	$15-20$	$20-30$	$30-40$	$40-60$	$60-70$
$f$	$20$	$15$	$10$	$25$	$5$	$30$	$50$

Answer 1

$\Rightarrow$ Here, we can see class width is not same, so we have to find adjacent frequency to draw histogram.

$\Rightarrow$ Adjacent frequency $=\frac{Minimumclasssize}{Classsize}\times Frequency$

$\Rightarrow$ Where, minimum class size is $5$

$CI$	$Frequency$	$Classsize$	$Adjacentfrequency$
$0-10$	$20$	$10$	$10$
$10-15$	$15$	$5$	$15$
$15-20$	$10$	$5$	$10$
$20-30$	$25$	$10$	$12.5$
$30-40$	$5$	$10$	$2.5$
$40-60$	$30$	$20$	$7.5$
$60-70$	$50$	$10$	$25$

$\Rightarrow$ $X-axis$ contains $CI$ and $Y-axis$ contains adjacent frequency.