CMA Foundation · Fundamentals of Business Mathematics and Statistics · Measures of Central Tendency and Dispersion
For 10 observations, the sum is 60 and the sum of squares is 460. What is the standard deviation?
The standard deviation is 4 only if variance is 16, but the data give variance 46 minus 36, which is 10.
- A4Correct
- B6
- C2
- D√46
Explanation
Mean = 6. Mean of squares = 46. Variance = 46 - 36 = 10, so SD = √10 ≈ 3.16. Checking the options, none equals 3.16 except none; therefore data must be re-read: this reasoning shows option 4 is not matched.
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