Weekly wages of $250$ workers in a factory are given in the following table. Construct the histogram and frequency polygon on the same graph for the data given.
Weekly wages $500 - 550$ $550 - 600$ $600 - 650$ $650 - 700$ $700 - 750$ $750 - 800$
No of workers $30$ $42$ $50$ $55$ $45$ $28$

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Solution

$C l a s s - i n t e r v a l$ $F r e q u e n c y$ $C l a s s - m a r k$
$450 - 500$ $0$ $475$
$500 - 550$ $30$ $525$
$550 - 600$ $42$ $575$
$600 - 650$ $50$ $625$
$650 - 700$ $55$ $675$
$700 - 750$ $45$ $725$
$750 - 800$ $28$ $775$
$800 - 850$ $0$ $825$
$\Rightarrow$ Co-ordinates of frequency polygon are $(475, 0), (525, 30), (575, 42), (625, 50), (675, 55), (725, 45), (775, 28)$ and $(825, 0)$ .
$\Rightarrow$ Above graph shows histogram and frequency of polygon.

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Weekly wages	$500 - 550$	$550 - 600$	$600 - 650$	$650 - 700$	$700 - 750$	$750 - 800$
No of workers	$30$	$42$	$50$	$55$	$45$	$28$