Worksheet: Cumulative Frequency Diagrams

A worksheet with questions that require you to draw a cumulative frequency graph, given a table of values, and use it to estimate the median value from the grouped dataset.

Q1:

The table shows the marks of 60 students in a mathematics exam. By drawing a cumulative frequency curve, estimate the median mark achieved.

Mark	2–	6–	10–	14–	18–	22–	26–	Total
Frequency	11	10	13	7	6	5	8	60

A34
B21
C6.5
D12.8
E6.8

Q2:

The table shows the marks of 60 students in a mathematics exam. By drawing a cumulative frequency curve, estimate the median mark achieved.

Mark	2–	6–	10–	14–	18–	22–	26–	Total
Frequency	10	7	5	9	11	12	6	60

A31
B22
C10
D17.6
E9.5

Q3:

The table shows the marks of 60 students in a mathematics exam. By drawing a cumulative frequency curve, estimate the median mark achieved.

Mark	2–	6–	10–	14–	18–	22–	26–	Total
Frequency	11	7	4	8	12	4	14	60

Q4:

The table shows the marks of 60 students in a mathematics exam. By drawing a cumulative frequency curve, estimate the median mark achieved.

Mark	2–	6–	10–	14–	18–	22–	26–	Total
Frequency	12	10	9	10	6	11	2	60

A31
B22
C8
D13.6
E9