Question

Variance is the square root of standard deviation true or false

Answer 1

variance is square root of standard deviation it is true...

Answer 2

False as the variance is square of the standard deviation.

Explanation:

• The standard deviation is the measurement of the dispersion of the set of data values. It is denoted by the sigma$(\sigma)$ symbol.
• This means that for a higher standard deviation the data values tend to be more spread out over a wider range. While data being closer to its mean leads to a lower value of standard deviation.
• Variance is also a measure of the spread of data about its mean and it's the expectation of the squared standard deviation.
• Hence, mathematically we have the relation between standard deviation and variance as, $variance=\sigma^2$