Draw a histogram for the following frequency table: Class interva… - Vidyadip

Question

Draw a histogram for the following frequency table:

Class interval	$5 - 9$	$10 - 14$	$15 - 19$	$20 - 24$	$25 - 29$	$30 - 34$
Frequency	$5$	$9$	$12$	$10$	$16$	$12$

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Answer

We see that the class intervals are in inclusive manner.
We first need to convert them into exclusive manner.

Class interval	Frequency
$4.5 - 9.5$	$5$
$9.5 - 14.5$	$9$
$14.5 - 19.5$	$12$
$19.5 - 24.5$	$10$
$24.5 - 29.5$	$16$
$29.5 - 34.5$	$12$

We take the true class limit on the $x-$axis on a suitable scale and the frequencies on the $y-$axis on suitable scales.
Taking class intervals as bases and the corresponding frequencies as heights, we consrtuct rectangles to obtain a histogram of the given frequency distribution.
Here as the class limits do not start from $0$, we put a kink between $0$ and the true lower boundary of the first class.

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