### How do you interpret variation?

## How do you interpret variation?

A variance of zero indicates that all of the data values are identical. All non-zero variances are positive. A small variance indicates that the data points tend to be very close to the mean, and to each other. A high variance indicates that the data points are very spread out from the mean, and from one another.

## What is a good standard deviation value?

For an approximate answer, please estimate your coefficient of variation (CV=standard deviation / mean). As a rule of thumb, a CV >= 1 indicates a relatively high variation, while a CV

**Why do we use standard deviation and variance?**

Taking the square root of the variance gives us the units used in the original scale and this is the standard deviation. Standard deviation is the measure of spread most commonly used in statistical practice when the mean is used to calculate central tendency. Thus, it measures spread around the mean.

**What is a significant variance?**

The difference between the two variances is statistically significant. This condition indicates that your sample provides strong enough evidence to conclude that the variability in the two populations are different. In other words, their spreads differ.

### When Levene’s test is significant?

If the Levene’s Test is significant (the value under “Sig.” is less than . 05), the two variances are significantly different. If it is not significant (Sig. is greater than . 05), it means the two variances are approximately equal.

### Why is variance always positive?

Variance is always nonnegative, since it’s the expected value of a nonnegative random variable. Moreover, any random variable that really is random (not a constant) will have strictly positive variance.

**What is the square of the variance?**

The Standard Deviation is a measure of how spread out numbers are. The formula is easy: it is the square root of the Variance.