Soundness of mind

Is variance always greater than mean?

Generally speaking, the variance of a set of values is always greater than or equal to the mean. This is because the variance measures the spread of the values, whereas the mean measures the center of the values. For example, if we have two values with the same mean but different spreads, the variance will be greater for the set of values with the larger spread.

Is mean always less than variance?

No, mean and variance are two separate statistics and there is no guarantee that one will always be less than the other. Mean is the average of all the values in a dataset, while variance is a measure of how spread out the values in a dataset are. Depending on the dataset, one can be greater than the other.