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