Draw a histogram to represent the following data: Class interval 10-14 14-20 20-32 32-52 52-80 Frequency 5 6 9 25 21

Given frequency distribution is as below: Class interval 10-14 14-20 20-32 32-52 52-80 Freaquency 5 6 9 25 21 In the above table, class intervals are of unequal size, So we calcute the adjusted frequency by using the following formula: Adjusted Frequency= Minimum class sizex its frequaency Class size of this class Thus, the adjusted frequency table is: Class intervals frequency Adjusted Frequency 10-14 5 4 4 5=5 14-20 6 4 6 6=4 20-32 9 4 12 9=3 32-52 25 4 20 25=5 52-80 21 4 28 21=3 Now take class intervals along x-axis and adjusted frequency along y-axis and constant rectangles rectangles having their beses as class size and heights as the corresponding adjusted frequency. Thus, we obtain the histogram as shown below:

Draw a histogram to represent the following data: Class interval …

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Question

Draw a histogram to represent the following data:

Class interval	$10-14$	$14-20$	$20-32$	$32-52$	$52-80$
Frequency	$5$	$6$	$9$	$25$	$21$

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Answer

Given frequency distribution is as below:

Class interval	$10-14$	$14-20$	$20-32$	$32-52$	$52-80$
Freaquency	$5$	$6$	$9$	$25$	$21$

In the above table, class intervals are of unequal size, So we calcute the adjusted frequency by using the following formula: $\text{Adjusted Frequency}=\frac{\text{Minimum class sizex its frequaency}}{\text{Class size of this class}}$ Thus, the adjusted frequency table is:

Class intervals	frequency	Adjusted Frequency
$10-14$	$5$	$\frac{4}{4}\times5=5$
$14-20$	$6$	$\frac{4}{6}\times6=4$
$20-32$	$9$	$\frac{4}{12}\times9=3$
$32-52$	$25$	$\frac{4}{20}\times25=5$
$52-80$	$21$	$\frac{4}{28}\times21=3$

Now take class intervals along $x$-axis and adjusted frequency along $y$-axis and constant rectangles rectangles having their beses as class size and heights as the corresponding adjusted frequency. Thus, we obtain the histogram as shown below: