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The variance of data set 2, 4, 6 is

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8/3

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Subject: mathematics
Chapter: statistics and probability
Topic: statistics
Difficulty: Medium
Year: 2025

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Correct Answer:

8/3

Find Mean: $\overset{x}{ˉ} = \frac{2 + 4 + 6}{3} = \frac{12}{3} = 4$ .
Deviation Calculation: $(x_{i} - \overset{x}{ˉ})$
- $(2 - 4) = - 2 ⟹ (- 2)^{2} = 4$
- $(4 - 4) = 0 ⟹ (0)^{2} = 0$
- $(6 - 4) = 2 ⟹ (2)^{2} = 4$
Apply Variance Formula: $Va r (X) = \frac{\sum ( x _{i} - x ˉ ) ^{2}}{n}$ .
Calculation:
- $Va r = \frac{4 + 0 + 4}{3} = 8/3$ .
Note: Standard deviation would be $8/3$ .

This medium difficulty mathematics question is from the chapter statistics and probability, covering the topic of statistics. It appeared in the 2025 exam.

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