when computing the standard deviation, does it matter whether the data are sample data or data comprising…

when computing the standard deviation, does it matter whether the data are sample data or data comprising the entire population? explain.\nyes. the formula for s is divided by n, while the formula for σ is divided by n - 1.\nyes. the formula for s is divided by n - 1, while the formula for σ is divided by n.\nno. the formula for both s and σ is divided by n - 1.\nno. the formula for both s and σ is divided by n.
Answer
Brief Explanations:
The standard - deviation formula for a sample is $s=\sqrt{\frac{\sum_{i = 1}^{n}(x_{i}-\bar{x})^{2}}{n - 1}}$, where $n$ is the sample size. The standard - deviation formula for a population is $\sigma=\sqrt{\frac{\sum_{i = 1}^{N}(x_{i}-\mu)^{2}}{N}}$, where $N$ is the population size. So, it matters whether the data are sample data or population data as the denominators in the formulas are different ($n - 1$ for sample and $N$ for population).
Answer:
Yes. The formula for $s$ is divided by $n - 1$, while the formula for $\sigma$ is divided by $N$.