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When the squared deviations are averaged, which divisor is used for a sample and which for a population?
ADivide by n for a sample and by N minus one
BDivide by n minus one for a sample and by N
CDivide by n for a sample and by N for a population
DDivide by n plus one for a sample and by N
Answer & Solution
Correct answer: B. Divide by n minus one for a sample and by N
1. A population variance divides the sum of squared deviations by N, the number of items in the population.
2. A sample variance has to use an estimated mean rather than the real population mean.
3. Dividing by n minus one rather than n corrects for that and gives a better estimate of the population variance.
4. Swapping the two divisors is the common slip, and it makes the sample estimate too small.
_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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