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 intervalsfrequencyAdjusted Frequency10-1454 4 5=514-2064 6 6=420-3294 12 9=332-52254 20 25=552-80214 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	$\frac{4}{28}\times21=3$