# Cumulative Frequency Histogram

See how to make and read a cumulative frequency histogram.

3 examples and their solutions.

## Cumulative Frequency Histogram

### Example

For the given test scores,

make a cumulative frequency histogram.

Solution
make a cumulative frequency histogram.

Interval | Frequency |
---|---|

50-59 | 2 |

60-69 | 3 |

70-79 | 7 |

80-89 | 6 |

90-99 | 2 |

Interval | Frequency | Cumulative Frequency |
---|---|---|

50-59 | 2 | 2 |

60-69 | 3 | 5 |

70-79 | 7 | 12 |

80-89 | 6 | 18 |

90-99 | 2 | 20 |

[1]

Make a Cumulative Frequency column.

Add up the Frequency.

2 = 2

2 + 3 = 5

5 + 7 = 12

12 + 6 = 18

18 + 2 = 20

Add up the Frequency.

2 = 2

2 + 3 = 5

5 + 7 = 12

12 + 6 = 18

18 + 2 = 20

[3]

x-axis: Test score intervals

y-axis: Cumulative Frequency

(cumulative frequency) = (height of the bar)

Frequency Histogram

y-axis: Cumulative Frequency

(cumulative frequency) = (height of the bar)

Frequency Histogram

Close

### Example

For the given cumulative frequency histogram,

find the percent of students

that score less than 80 points.

Solution
find the percent of students

that score less than 80 points.

(%) = 1220⋅100 - [1]

= 12⋅5

= 60%

[1]

Close

### Example

For the given cumulative frequency histogram,

find the percent of students

that score more than or equal to 70 points.

Solution
find the percent of students

that score more than or equal to 70 points.

(%) = 20 - 620⋅100 - [1]

= 14⋅5

= 70%

[1]

n(~69 points) = 6

n(total) = 20

→ n(more than or equal to 70 points)

= 20 - 6

n(total) = 20

→ n(more than or equal to 70 points)

= 20 - 6

Close