Asked by Elodie Charlorin on May 19, 2024
Verified
The formula used for calculating the variance of a population is different from that used for calculating the variance of a sample.
Variance
A measure of dispersion that indicates the average squared deviation of each number in a set from the mean of the set.
Population
The entire pool from which a statistical sample is drawn and about which inferences are made.
Sample
A subset of a population used in statistical analysis to approximate the characteristics of the entire population.
- Acquire knowledge on the assembly and interpretation of frequency distributions.
Verified Answer
NM
Natália MaedaMay 26, 2024
Final Answer :
True
Explanation :
The formula for calculating the variance of a population is σ^2 = Σ(xi-μ)^2/N, where σ^2 is the population variance, xi is an individual data point, μ is the population mean, and N is the number of data points in the population. The formula for calculating the variance of a sample is s^2 = Σ(xi-x̄)^2/(n-1), where s^2 is the sample variance, xi is an individual data point, x̄ is the sample mean, and n is the sample size minus one. Therefore, the formulas used for calculating population and sample variances are different.
Learning Objectives
- Acquire knowledge on the assembly and interpretation of frequency distributions.