Final answer:
To calculate the sum of values (S), multiply the average (A) by the number of values (N), resulting in S = A * N. To find the number of values (N), divide the sum of values (S) by the average (A), getting N = S / A. These are basic algebraic manipulations applied in statistical calculations.
Step-by-step explanation:
The student has provided the formula for calculating the average as A = S/N, where A is the average, S is the sum of values, and N is the number of values.
Solving for S (the sum of values)
To solve for S, we multiply both sides of the equation by N to get S = A * N.
Solving for N (the number of values)
To solve for N, we divide both sides of the equation by A to get N = S / A.
These solutions are fundamental algebraic operations used to isolate the variable of interest on one side of the equation. In the context of statistics, when calculating the standard deviation, population mean, and when working with sample data, different formulas are applied depending on whether we are dealing with a population or a sample size.