Question:medium
If \( \sum_{i=1}^{9} (x_i - 5) = 9 \) and \( \sum_{i=1}^{9} (x_i - 5)^2 = 45 \), then the standard deviation of the 9 items \( x_1, x_2, \ldots, x_9 \) is:
If \( \sum_{i=1}^{9} (x_i - 5) = 9 \) and \( \sum_{i=1}^{9} (x_i - 5)^2 = 45 \), then the standard deviation of the 9 items \( x_1, x_2, \ldots, x_9 \) is:
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Standard deviation measures the "spread" of data. Adding or subtracting a constant to all numbers shifts the whole data set but doesn't change how spread out they are, so the standard deviation stays the same.
Updated On: May 6, 2026
- \( 9 \)
- \( 4 \)
- \( 3 \)
- \( 2 \)
- \( 1 \)
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The Correct Option is D
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