Cumulative Frequency Worksheet
A Grade 7 math worksheet focusing on understanding and calculating cumulative frequency from data sets.
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Standards
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Cumulative Frequency Practice
Name:
Date:
Score:
Read each question carefully and provide your answers in the spaces provided. Show your work where necessary.
Cumulative frequency is the running total of frequencies. It helps us find the number of observations that fall below a certain value.
Example: A class scored the following marks on a quiz:
Marks: 5, 6, 7, 8, 9, 10
Frequency: 2, 4, 6, 5, 3, 1
To find the cumulative frequency, we add the frequencies as we go:
Marks: 5 (Freq: 2, Cum. Freq: 2)
Marks: 6 (Freq: 4, Cum. Freq: 2+4=6)
Marks: 7 (Freq: 6, Cum. Freq: 6+6=12)
1. Complete the cumulative frequency column for the following data set:
Score
Frequency
Cumulative Frequency
1
3
2
5
3
7
4
4
5
1
The number of books read by students in a month is given below:
Number of Books: 0, 1, 2, 3, 4
Frequency: 2, 5, 8, 3, 2
2. How many students read 2 or fewer books?
3. What is the total number of students surveyed?
A farmer recorded the number of eggs laid by his hens each day for a week:
Eggs: 10, 12, 15, 13, 11, 14, 10
4. What is the cumulative frequency for 12 eggs or less?
2
3
4
5
Consider the following data: {1, 2, 2, 3, 3, 3, 4, 4, 5}
5. The cumulative frequency for the value '3' is 6.
True
False
The following table shows the number of goals scored by a soccer team in their last 10 matches:
Goals Scored
Number of Matches (Frequency)
0
1
1
3
2
4
3
2
6. Construct a cumulative frequency table for the data above. Then, determine how many matches the team scored 2 goals or fewer.