# Lesson Worksheet: Histograms Mathematics

In this worksheet, we will practice representing and interpreting data using histograms.

**Q1: **

What do the heights of the bars on a histogram represent?

- AThe overall range of values
- BThe frequency in each group
- CData values

**Q2: **

The histogram shows the highest wind speeds in 30 different cities. How many cities recorded wind speeds of 75 mi/h or more?

**Q3: **

This histogram shows the time that students spend doing homework every night. How many students spend seventy-five minutes or less doing homework?

**Q4: **

The histogram shows the number of movies watched by a class of students during a month. How many students watched less than 14 movies?

**Q5: **

Use the histogram to find the number of students who are between 60 and 70 inches tall.

**Q6: **

Use the histogram to find the percentage of cities that have an area between 200 and 600 square kilometers.

**Q7: **

The histogram shows the age at which several people started their first job. Using this information, determine how many people started their first job between the ages of 15 and 25.

**Q8: **

The table shows the distribution of heights of 200 students. By drawing a histogram, find graphically an estimate for the mode height.

Height (cm) | 120–129 | 130–139 | 140–149 | 150–159 | 160–169 | 170–179 | 180– | Total |
---|---|---|---|---|---|---|---|---|

Number of Students | 23 | 24 | 36 | 27 | 32 | 33 | 25 | 200 |

- A36 cm
- B146 cm
- C133 cm
- D156 cm

**Q9: **

The histogram shows the ages of students in a school. Use this information to find the total number of students who are older than 11 or younger than 10.

**Q10: **

The histogram shows the ages of students in a school. Use this information to find the difference between the number of students who are 14 or older and the number of students who are 11 or younger.