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.

• A. The area under the frequency polygon is equal to the sum of areas of all bars of the histogram.
• B. Least number of victims are seen in February.
• C. June has the highest frequency of victims.
• D. The frequency graph is incorrect.

Answer 1

Answer: (A), (C)

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 frequency polygon is same as the sum of the areas of all the bars of the 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.