Worksheet: Cumulative Frequency Histogram

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In this worksheet, we will practice drawing a cumulative frequency graph, given a table of values, and using it to estimate the median value from the grouped data set.

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

A6.8
B21
C6.5
D34
E12.8

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

A22
B10
C9.5
D31
E17.6

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	12	10	9	10	6	11	2	60

A13.6
B22
C9
D31
E8

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	6	8	13	9	11	2	11	60

A15.3
B9.5
C27
D36
E10

Q5:

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

Mark	5–9	10–14	15–19	20–24	25–29	30–	Total
Frequency	5	10	9	10	12	4	50

Q6:

By drawing a cumulative frequency curve, find the median of the following frequency distribution.

Sets	300–399	400–499	500–599	600–699	700–	Total
Frequency	9	11	6	10	14	50

Q7:

The table shows the distribution of daily wages of 100 workers at a factory. By drawing a cumulative frequency curve, estimate the median daily wage.

Daily Wages (LE)	15–	20–	25–	30–	35–	40–	Total Number of Workers
Number of Workers	23	14	12	15	19	17	100

A30 LE
B64 LE
C35 LE
D49 LE