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

Area under the frequency polygon is 40 cm²

step-by-step explanation:

Given ,

area under a histogram =  40 cm²

We know  that

       Area under histogram   = area under frequency polygon

      So

            Area under frequency polygon = 40 cm²

• We can understand area under frequency polygon  by constructing a frequency  polygon and histogram.

• Draw graph for both and after calculating the area of both graph, we will see that area under histogram is equal to area under frequency polygon.

• Some part of histogram is left out after calculating the area of frequency polygon.

• left out part of histogram is added at  time of calculating area of histogram.

Answer 2

a) 40 cm²

Explanation:

Given that the area under the histogram is 40 cm². When we construct a histogram or a frequency polygon, we will be able to notice that the area under the histogram will be the same as the area under the frequency polygon for a given range of readings.

Area under histogram   = area under frequency polygon

So, it is clear that the area under the corresponding frequency polygon is also 40 cm².

Option A is the answer.