Draw a histogram for the following frequency distribution with unequal class length:
Class $0-10$ $10-20$ $20-40$ $40-70$ $70-100$
Frequency $15$ $13$ $28$ $36$ $27$

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(N/A) To draw a histogram for a frequency distribution with unequal class lengths,we must calculate the adjusted frequency (height of the rectangle) for each class.
$1$. The formula for adjusted frequency is: $\text{Adjusted Frequency} = \frac{\text{Minimum class size}}{\text{Class size}} \times \text{Frequency}$.
$2$. The minimum class size is $10$ (from $0-10$ and $10-20$).
Calculation table:
Class Frequency Class Size Adjusted Frequency
$0-10$ $15$ $10$ $(10/10) \times 15 = 15$
$10-20$ $13$ $10$ $(10/10) \times 13 = 13$
$20-40$ $28$ $20$ $(10/20) \times 28 = 14$
$40-70$ $36$ $30$ $(10/30) \times 36 = 12$
$70-100$ $27$ $30$ $(10/30) \times 27 = 9$

Finally,plot the class intervals on the $x$-axis and the adjusted frequencies on the $y$-axis to draw the histogram.

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