Visual Comparison of Averages

Part of Averages · Section 4 of 7

DiagramUnit: StatisticsGCSE

This diagram covers Visual Comparison of Averages within Averages for GCSE Mathematics. Revise Averages in Statistics for GCSE Mathematics with 14 exam-style questions and 20 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 4 of 7 in this topic. Focus on the labels, the relationships between parts, and the explanation that turns the diagram into an exam-ready answer.

Visual Comparison of Averages

Dataset: 2, 4, 6, 6, 8, 10, 14 0 2 4 6 8 10 12 14 Mean = 7.1 Median = 6 Mode = 6 Key Observations: • Mean is pulled right by the outlier (14) • Median is the middle value (4th of 7 values) • Mode is 6 (appears twice) • Mean ≠ Median ≠ Mode when data is skewed

Practice questions for Averages

What is the mode of this dataset? 3, 5, 5, 7, 9, 3, 5, 11

  • A. 3
  • B. 5
  • C. 7
  • D. 11
1 markfoundation

Class A has test scores: 55, 62, 58, 60, 61, 63, 57. Class B has test scores: 20, 60, 62, 63, 61, 58, 64. A teacher says 'Class A has a higher mean score, so Class A performed better overall.' Give a mathematical reason why this conclusion may be misleading.

3 markshigher

Quick recall flashcards

What is the mode?
The mode is the value that appears most frequently in a dataset. A dataset can have no mode, one mode, or multiple modes.
What is the mean?
The mean is the sum of all values divided by the number of values. It's also called the arithmetic average.

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