Data Variability Statistics Example 3

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

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 why?

Solution

  1. 1
    Step 1: In Set X every value equals the mean (5), so there is no spread at all.
  2. 2
    Step 2: Set Y has values ranging from 1 to 9, so it has positive variability.

Answer

Set X has zero variability because all values are identical.
When every data point equals the mean, there is no variability. Variability only exists when data points differ from one another.

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

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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 gre

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