Statistical charts and diagrams

Maths · Statistics. The idea in plain words, the rules to remember, the mistake to avoid and a worked example, written and checked by Mega Lecture.

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The idea

Each type of diagram shows frequencies in a different way, and you must know how to read each one. In a bar chart the height of a bar is the frequency. In a pictogram a symbol stands for a fixed number of items, given in the key. In a pie chart the whole circle, 360°, stands for the total, and each sector is a fraction of it.

A stem-and-leaf diagram keeps every value: the stem is the first part of the number and each leaf is the last digit, written in order. Its key tells you how to read a value.

A frequency polygon shows grouped data as points joined by straight lines.

Rules to remember

Common mistake

Treating the angle of a pie chart sector as a percentage or as the frequency. The whole circle is 360°, not 100, so always work with the fraction angle ÷ 360.

Worked example

A pie chart shows the favourite sports of 90 students. The football sector has an angle of 120° and the tennis sector has an angle of 48°. How many more students chose football than tennis?

  1. Football: (120 ÷ 360) × 90 = 30 students.
  2. Tennis: (48 ÷ 360) × 90 = 12 students.
  3. Difference = 30 − 12 = 18.

Answer: 18 more students chose football

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