Worksheet: Cumulative Frequency Histogram

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

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