Question

If the area under a histogram is 40cm^(2) then the area under the corresponding frequency polygon is: (a) 40cm^(2) (b) 80cm^(2) (c) 20cm^(2) (d) 30cm^(2)

Answer 1

The correct answer is a) 40 cm

Step-by-step explanation:

The correct answer is said to be 40 cm because the area of histogram and corresponding frequency polygon is almost same.

This can be demonstrated by constructing a histogram and then making a frequency polygon out of it.

It is observed that the area of both is approximately same.

Answer 2

It is clear that the area under the corresponding frequency polygon is $40\ cm^2$.

Step-by-step explanation:

The area under a histogram is $40\ cm^2$. We know that the area under histogram is equal to the area under frequency polygon.

It can be understood by constructing frequency polygon and histogram. When we draw graph, we will see that area under frequency polygon is same as area under histogram.

So, it is clear that the area under the corresponding frequency polygon is $40\ cm^2$.

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