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A grouped table of 26 values gives a total of 306.35 for the frequency weighted squared deviations. What is the sample standard deviation?
AIt is about 12.25
BIt is about 11.78
CIt is about 3.50
DIt is about 3.43
Answer & Solution
Correct answer: C. It is about 3.50
1. The sample variance divides the weighted total by the sample size minus one.
2. The sample size is 26, so the divisor is 25.
3. Dividing 306.35 by 25 gives a variance of 12.25 squared units.
4. The standard deviation is the square root of 12.25, which is 3.5 units.
5. Reporting 12.25 stops at the variance and leaves the answer in squared units.
6. Reporting 3.43 comes from dividing by 26 rather than by 25 before taking the root.
_Source: OpenStax Introductory Business Statistics (CC BY 4.0), Ch 2 "Descriptive Statistics", section 2.7 Measures of the Spread of the Data_
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