Data Variability Statistics Example 4

Follow the full solution, then compare it with the other examples linked below.

Example 4

easy
Team A scores 14, 15, 15, 16, 15 in five games. Team B scores 10, 15, 20, 15, 15. Which team has greater variability? Explain briefly.

Solution

  1. 1
    Step 1: Team A has range 16−14=216 - 14 = 2, while Team B has range 20−10=1020 - 10 = 10.
  2. 2
    Step 2: Since Team B's scores are spread out much more, Team B has greater variability.

Answer

Team B has greater variability because its scores are spread out more.
Variability is about spread, not just centre. Two sets can have similar typical values, but the set with the larger spread is less consistent.

About Data Variability

Data variability describes how much the values in a data set are spread out or clustered together around the center. High variability means values are widely scattered; low variability means they are tightly grouped near the average.

Learn more about Data Variability →

More Data Variability Examples

Example 1 easy

Two classes took the same test. Class A scores: 70, 72, 68, 71, 69. Class B scores: 50, 90, 60, 80,

Example 2 medium

Daily temperatures (°C) for a week: 20, 22, 19, 21, 20, 23, 21. Calculate the mean and describe the

Example 3 easy

Set X: {5, 5, 5, 5, 5}. Set Y: {1, 3, 5, 7, 9}. Both have mean 5. Which set has zero variability and

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