Draw a histogram for the following frequency distribution with unequal class length:

Class	$0-5$	$5-10$	$10-20$	$20-30$	$30-50$	$50-70$	$70-100$
Frequency	$6$	$8$	$14$	$16$	$24$	$20$	$30$

(N/A) For a histogram with unequal class intervals,the height of the rectangles must be proportional to the frequency density,not just the frequency.
$1$. Calculate the class width $(w)$ for each class.
$2$. Calculate the frequency density = $\frac{\text{Frequency}}{\text{Class width}}$.
| Class | Frequency $(f)$ | Width $(w)$ | Frequency Density $(f/w)$ |
| :--- | :--- | :--- | :--- |
| $0-5$ | $6$ | $5$ | $1.2$ |
| $5-10$ | $8$ | $5$ | $1.6$ |
| $10-20$ | $14$ | $10$ | $1.4$ |
| $20-30$ | $16$ | $10$ | $1.6$ |
| $30-50$ | $24$ | $20$ | $1.2$ |
| $50-70$ | $20$ | $20$ | $1.0$ |
| $70-100$ | $30$ | $30$ | $1.0$ |
$3$. Plot the class intervals on the $x$-axis and the frequency density on the $y$-axis to draw the histogram.