Statistics
Variance
Premium Question
Grade 11

Question:

The variance of the five observations 4, 4, 4, 4, 4 is:
(1) 0
(2) 4
(3) 16
(4) 1

Step-by-Step Solution

Key Concept: Notice that every observation is identical to the mean — think about what this means for each individual deviation $x_i - \bar{x}$, and hence for the variance.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: (1)

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