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NSWMaths Standard 2Quick questions
Year 11: Data Analysis
Quick questions on Frequency graphs and cumulative frequency (ogive) for HSC Maths Standard 2
3short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.
What is the frequency histogram?Show answer
A frequency histogram is a column graph for grouped numerical data. Two features separate it from an ordinary bar chart:
What is the frequency polygon?Show answer
A frequency polygon is a line graph drawn over the same data. You join the midpoint of the top of each bar with straight line segments. That midpoint sits at the class centre across and the frequency up, so each vertex is the point . To finish the polygon you bring each end down to the horizontal axis at the next class centre beyond the data, where the frequency is , so the line closes onto the axis.
What is the cumulative frequency graph (the ogive)?Show answer
The cumulative frequency of a class is the running total: how many values fall at or below the upper end of that class. The ogive is the graph of cumulative frequency (vertical axis) against the upper class boundary (horizontal axis), with the points joined by a smooth rising curve. Three things are always true of an ogive:
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