Interpreting a Frequency Polygon

00:00 4 marks

A frequency polygon is constructed using the midpoints of class intervals from a frequency distribution table. Given the following class midpoints and corresponding frequencies:

Midpoints: 5, 15, 25, 35, 45
Frequencies: 3, 7, 12, 8, 5

Plot the points and describe how you would construct the frequency polygon to accurately represent the data. Include a brief explanation of the importance of closing the polygon by connecting to the horizontal axis.

Hint Hint

Hint

Remember to plot points using midpoints on the x-axis and frequencies on the y-axis, then connect consecutive points with straight lines and close the polygon to the horizontal axis.

Answer Answer
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Answer Answer

Complete Answer

Plot each point at the given midpoint and frequency, join consecutive points with straight lines, and extend the polygon to the horizontal axis at the class boundaries before the first and after the last midpoint to close the polygon.

Mark Scheme Mark Scheme

Answer Explanation Answer Explanation

Common Errors Common Errors

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Formula Booklet