Final answer:
The division by n-1 in the standard deviation formula is recommended because it provides an unbiased estimate of the population variance.
Step-by-step explanation:
The division by n-1 in the standard deviation formula is recommended because it provides an unbiased estimate of the population variance. When we calculate the average of the squared deviations for a sample, dividing by n-1 instead of n gives a better estimate of the population variance. This is based on the theoretical mathematics that underlies these calculations.