Explain the reason for adjusting the formula of the standard

Explain the reason for adjusting the formula of the standard deviation/variance with n - 1 in the denominator

Solution

The spread of the data can be calculated using standard deviation (which is based on sample mean). when the mean is calculated by \'n\' data, there will be only (n-1) observations which are independent and one observation would be dependent on previous observations.

Estimating how widely spread around the real mean, the data samples are by calculating how spread around the estimated mean they are going to give a value biased slightly too low. Using (n-1) (in place of n) compensates this low.

therefore, (n-1) is used in calculating the variance