Yes, the square root of the variance is the standard deviation. The standard deviation is a measure of how spread out the data points are from the mean. The larger the standard deviation, the more spread out the data points are.

Why do we take the square root of the variance?

Taking the square root of the variance is a way of measuring the spread or dispersion of a set of data points. The variance is calculated by taking the average of the squared differences from the mean. Taking the square root of the variance gives you an approximate measure of the standard deviation, which is a measure of the amount of variability or dispersion from the mean. The standard deviation can then be used to measure the probability of a given data point falling within a certain range of the mean.

Is s squared the variance?

Yes, s squared is the variance of a population. The variance is a measure of how spread out the values in a population are. It is calculated by taking the sum of the squared differences between each value and the mean, divided by the number of values in the population. Mathematically, the variance is represented as:

Variance = (1/n) * ∑ (x-mean)^2

Where x is the individual value, mean is the average of the population, and n is the number of values in the population.