A neighborhood is trying to set up school carpools, but they need to determine the number of students that need to travel to the

Question

2 months ago

13

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 histogram summarizes their findings:
Histogram titled Carpool, with Number of Children on the y axis and Age Groups on the x axis. Bar 1 is 5 to 10 years old and has a value of 7. Bar 2 is 11 to 13 years old and has a value of 5. Bar 3 is 14 to 18 years old and has a value of 4.

Which of the following data sets is represented in the histogram?

{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}

Mathematics

2 answers:

Leona [12.6K] · Answer 1 · 2026-03-19T15:27:50+03:00

Answer:

The first data set is the correct one.

Step-by-step explanation:

This dataset will represent the ages of children. There are 7 children aged 5-10, 5 children in the 11-13 age range, and 4 children in the 14-18 age range - yielding a total of 16 children.

The first data set contains this information and accurately reflects what is presented in the histogram.

AnnZ [12.3K] · Answer 2 · 2026-03-19T15:29:27+03:00

Answer:

The correct selection is 1.

Step-by-step explanation:

The histogram indicates that

In the 5-10 age group, there are 7 students.

In the 11-13 age group, 5 students are represented.

In the 14-18 age category, 4 students are included.

This implies that the ages of 7 students fall within the 5-10 range, 5 students within the 11-13 range, and 4 students within the 14-18 range.

The total count in the dataset is $7+5+4=16$

In options 3 and 4, the counts in the datasets are fewer than 16. Hence, options 3 and 4 are invalid.

Option 2 exclusively contains data within the 5-10 range, making it incorrect as well.

In option 1,

Class intervals elements frequency

5-10 5,6,7,8,9,10,10 7

11-13 11,11,12,12,13 5

14-18 14,14,15,16 4

Based on the above table, we can determine that data set 1 is represented in the provided histogram.

Thus, the answer is option 1.