Cumulative Frequency Worksheet
A Grade 10 math worksheet focusing on understanding and interpreting cumulative frequency, including tables and graphs.
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Cumulative Frequency Worksheet
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your working for questions that require calculations or graph plotting.
1. Explain in your own words what cumulative frequency represents in a data set.
2. Complete the cumulative frequency table for the given data of student test scores:
Score (x) | Frequency (f) | Cumulative Frequency (cf)
----------------------------------------------------
40 < x ≤ 50 | 5 |
50 < x ≤ 60 | 8 |
60 < x ≤ 70 | 12 |
70 < x ≤ 80 | 10 |
80 < x ≤ 90 | 7 |
90 < x ≤ 100| 3 |
3. Using the cumulative frequency table from question 2, how many students scored 70 or less?
4. What is the total number of students who took the test?
5. Plot a cumulative frequency graph (ogive) for the data in question 2. Label your axes clearly.
6. Using your cumulative frequency graph, estimate the median score.
Between 50 and 60
Between 60 and 70
Between 70 and 80
Between 80 and 90
7. Using your cumulative frequency graph, estimate the number of students who scored more than 75.