# Worksheet: Frequency Density and Histograms

In this worksheet, we will practice calculating frequency density and plotting histograms.

**Q1: **

The frequency table below gives the heights of a group of students.

Height, (Centimeters) | |||||
---|---|---|---|---|---|

Frequency | 60 | 45 | 30 | 100 | 45 |

Which of the following histograms represents the given data?

- A
- B
- C
- D
- ENone of the above

**Q2: **

The frequency table provided shows the ages of teenagers in a neighborhood.

Age, (Years) | |||
---|---|---|---|

Frequency | 21 | 24 | 10 |

Frequency Density | 21 | 8 |

Find the missing density from the table.

**Q3: **

The given histogram shows the ages of students in a school.

Which of the following frequency tables matches the histogram?

- A
Age, (Years) Frequency 4 6 4 3 2.5 1 - B
Age, (Years) Frequency 4 12 8 9 5 1 - C
Age, (Years) Frequency 4 12 8 9 5 1 - D
Age, (Years) Frequency 4 12 8 9 5 1 - E
Age, (Years) Frequency 4 12 8 9 5

**Q4: **

The following table represents the speed of the members of a cycling club over a long-distance race.

Speed, (mph) | ||||||
---|---|---|---|---|---|---|

Frequency | 12 | 24 | 35 | 20 | 10 | 5 |

David drew a histogram to represent this data.

What is the mistake in this histogram?

- AThe bar of the interval represents the frequency instead of the frequency density.
- BThe last interval should end at 36.
- CThe bar of the interval represents the frequency instead of the frequency density.
- DNone of the bars represent the correct frequencies.
- EThe intervals should be equal.

**Q5: **

The frequency table below represents the times students take to walk to school.

Time, (Minutes) | ||||
---|---|---|---|---|

Frequency | 4 | 12 | 16 | 8 |

Find the frequency density for each frequency class.

- A1, 3, 4, 2
- B4, 16, 32, 40
- C1, 2, 3, 4
- D0.8, 2.4, 3.2, 1.6
- E2, 6, 8, 4