Question

A neighborhood is trying to set up school carpools, but they need to determine the number of students that need to travel to the elementary school (ages 5-10), the middle school (ages 11-13), and the high school (ages 14-18). A bar chart summarizes their findings:

Which of the following data sets is represented in the bar chart?

{15, 6, 7, 16, 11, 13, 8, 9, 12, 14, 14, 12, 11, 5, 10, 10}
{7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 4, 4, 4, 4}
{5, 7, 10, 5, 11, 13, 4, 14, 18}
{5, 6, 7, 8, 14, 18, 16, 17, 11, 12, 13}

Answer 1

The data set that is represented in the bar chart is {5, 6, 7, 8, 14, 18, 16, 17, 11, 12, 13}.

The bar chart shows the number of children in three age groups: 5-10, 11-13, and 14-18.

The data set {5, 6, 7, 8, 14, 18, 16, 17, 11, 12, 13} has values within these age ranges: 5-8 for elementary school, 11-13 for middle school, and 14-18 for high school.

The other data sets do not have values that match the age ranges of the bar chart. For example, data set {7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 4, 4, 4, 4} only has values for the middle school age group.

Therefore, based on the age ranges of the students and the values in the data set, {5, 6, 7, 8, 14, 18, 16, 17, 11, 12, 13} is the most likely data set represented in the bar chart.