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Following is the frequency distribution ...

Following is the frequency distribution of the total marks obtained by the students of all sections of a class in an examination:

Draw a histogram for the above given distribution.

Text Solution

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In the given frequency distribution, the class intervals are not of equal width. So, we would make modifications in the heights of rectangles in the histogram in such a way that the areas of rectangles are proportional to the frequencies.
Here, minimum class size `= 50.`
Height of the rectangle for a given class interval
`={("its frequency")/("its width")xx50}`
For example, the height for class interval 300-500 is `=((80)/(200)xx50)=20`
Thus, we have

nce along the `x`-axis we do not start with 0, so we use a kink in the beginning.
Now, we draw rectangles with given class intervals along the `x`-axis on a suitable scale and their corresponding heights along the `y`-axis on another suitable scale. Thus, we obtain the histogram of the given data, as shown below.
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