CSSGB · Question #120
For a set of data, the average squared deviation from the mean, with a denominator of n-1.
The correct answer is A. Sample Variance. Sample Variance (A) is correct because it is defined precisely as the average squared deviation from the mean using n-1 as the denominator - this divisor is known as Bessel's correction, which adjusts for the bias that arises when estimating a population's variance from a sample.
Question
For a set of data, the average squared deviation from the mean, with a denominator of n-1.
Options
- ASample Variance
- BNormal Distribution
- CSample
- DPopulation
How the community answered
(24 responses)- A92% (22)
- B4% (1)
- D4% (1)
Explanation
Sample Variance (A) is correct because it is defined precisely as the average squared deviation from the mean using n-1 as the denominator - this divisor is known as Bessel's correction, which adjusts for the bias that arises when estimating a population's variance from a sample.
- B (Normal Distribution) is wrong - it describes a bell-shaped probability distribution, not a variance formula.
- C (Sample) is wrong - a "sample" is simply a subset of data drawn from a population, not a statistical measure.
- D (Population) is wrong - population variance uses
n(notn-1) as the denominator, since you have all the data and no correction is needed.
Memory tip: Think "S for Sample, S for Subtract one" - sample variance subtracts 1 from n. When you have the full population, nothing is missing, so nothing gets subtracted.
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