Cumulative Frequency Diagrams and Histograms — Questions

IGCSE Mathematics (0580) practice questions. Work through each question before checking the solutions page.

Question 1

[2](a)A histogram has a class of width 10 with frequency 8, and another class of width 10 with frequency 20. Calculate the frequency density for each class.

Question 2

[2](a)Explain why frequency density, rather than frequency, is plotted on the y-axis of a histogram with unequal class widths.

Question 3

[2](a)A histogram class has frequency 18 and class width 6. Calculate its frequency density.

Question 4

[1](a)On a cumulative frequency diagram, state what the y-axis represents.

Question 5

[2](a)State how you would estimate the median from a cumulative frequency diagram with 80 data values total.

Question 6

[2](a)A histogram bar has frequency density 4 and width 5. Calculate its frequency.

Question 7

[2](a)A histogram bar has frequency density 4 and class width 5. Calculate its frequency.

Question 8

[2](a)For a data set of 80 values, state which cumulative frequency value corresponds to the median, and to the upper quartile.

Question 9

[1](a)Given lower quartile 25 and upper quartile 60, calculate the interquartile range.

Question 10

[2](a)Explain why a histogram (not a bar chart) is used for continuous, grouped data.

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