Question

Fill in the blanks to complete the correct definition of standard deviation:

Standard deviation is a measure of _________ . It is the _________ distance of all the data values from the _________ . The larger the standard deviation is, the more ___________ out the values are from the mean. The smaller the standard deviation is, the more closely ____________ the values are around the mean.

Answer 1

Standard deviation is a measure of variability . It is the square root of squared distance of all the data values from the mean. The larger the standard deviation is, the more spread out the values are from the mean. The smaller the standard deviation is, the more closely surrounded the values are around the mean.

Standard deviation measures variability.

It can be obtained by taking square root of variance and variance is the squared distance of data from the mean.

More the standard deviation more the spread from mean.

Smaller the standard deviation closer the values are to mean.