Question

A restaurant manager recorded the number of people in different age groups who attended her food festival. She then created the following histogram:

Histogram with title Food Festival Participants, horizontal axis labeled Age Group (year) with bins 0 to 19, 20 to 39, 40 to 59, and 60 to 79 and vertical axis labeled Number of People with values from 0 to 60 at intervals of 10. The first bin goes to 20, the second goes to 40, the third goes to 60, and the last goes to 50.

Which of the following statements best compares the height of the bars of the histogram?

There are twice as many participants in the 60–79 age group than in the 0–19 age group.
There are 3 times as many participants in the 40–59 age group than in the 0–19 age group.
There are more participants in the 40–59 age group than in the 0–19 and 60–79 groups combined.
There are more participants in the 60–79 age group than in the 0–19 and 20–39 groups combined.

Answer 1

"There are 3 times as many participants in the 40–59 age group than in the 0–19 age group" is the one statement among the following choices given in the question that best compares the height of the bars of the histogram. The correct option among all the options that are given in the question is the second option.

Answer 2

Option: B

There are three times as many participants in the 40-59 age group than in the 0-19 age group.

Explanation:

From the histogram we have following observations:

Number of people in the age group 0-19= 20

Number of people in the age group 20-39=40

Number of people in the age group 40-59=60

Number of people in the age group 60-79=50

Hence, from the data we could say that there are three times as many participants in the 40-59 age group( which is 60) than in the 0-19 age group(which is 20).

Hence, option B is correct.