Question:medium
If the mean and standard deviation of 10 observations are 24 and 4 respectively, then the sum of the squares of all observations is
If the mean and standard deviation of 10 observations are 24 and 4 respectively, then the sum of the squares of all observations is
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Logic Tip: The sum of squares can always be found quickly by multiplying the number of observations by the sum of the variance and the mean squared: $\sum x^2 = n(\sigma^2 + \mu^2)$. Using this, $10 \times (16 + 576) = 5920$.
Updated On: Apr 27, 2026
- 5920
- 5820
- 5720
- 5640
- 5660
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The Correct Option is A
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