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Question

The following figure shows a histogram and corresponding frequency polygon. The data shows the number of victims suffering from a disease 'X' in various months of 2012. 

Identify the correct statement(s) among the following.



Correct Answer
A

The area under the frequency polygon is equal to the sum of areas of all bars of the histogram.

Your Answer
B

Least number of victims are seen in February.

Correct Answer
C

June has the highest frequency of victims

Your Answer
D

The frequency graph is incorrect.


Solution

The correct options are
A

The area under the frequency polygon is equal to the sum of areas of all bars of the histogram.


C

June has the highest frequency of victims


From the definition, the area under a frequency polygon is same as the sum of the areas of all the bars of histogram provided the class size of all classes is the same. Hence option A is correct.

Also, we can see that the bar of February is not the smallest. Hence, option B is incorrect.

The bar of June is highest, so option C is correct.

Also, the frequency polygon is correctly drawn joining all the class marks and starting and ending at 0 so option D is not correct.

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