How does the formula for the sample mean differ from the formula for population mean?a. For sample mean, the sum of values is divided by the number of values minus one.b. To calculate the sample mean, you divide by the sample number plus one.c. The formulas are functionally the same, but ‘n’ (the sample size) is used instead of ‘N’ (the population size).
The correct answer is c
The correct answer is c. The formulas for the sample mean and the population mean are functionally the same, but they differ in terms of the variables used.
For both the sample mean and the population mean, you calculate the mean by summing up all the values and dividing it by the total number of values. The difference lies in the notation used for the sample and population sizes.
The formula for the population mean is represented as follows:
μ (mu) = (Σx) / N
where μ represents the population mean, Σx represents the sum of all the values in the population, and N represents the total number of values in the population.
On the other hand, the formula for the sample mean is represented as follows:
x̄ (x-bar) = (Σx) / n
where x̄ represents the sample mean, Σx represents the sum of all the values in the sample, and n represents the total number of values in the sample.
So, in summary, the formulas for the sample mean and population mean are similar, but the sample mean uses ‘n’ to denote the sample size, while the population mean uses ‘N’ to denote the population size. Additionally, it’s worth mentioning that the sample mean formula does not typically subtract one from the sample size (as stated in option a) or add one to the sample size (as stated in option b).
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