Given that the variance for a data set is 1.20, what is the standard deviation?

Solution:

Given,

The variance for the data set is 1.20

Standard deviation is the square root of variance.

Steps to find variance:

• Calculate the arithmetic mean of the data points.
• Find the squared differences ⇒ (data point - mean)²
• Find the variance s² = the average of the squared differences

Standard deviation = √variance

S =  √s²

S is the standard deviation

s² is the variance

S = √1.20

S = 1.095

Therefore, standard deviation S = 1.095

Given that the variance for a data set is 1.20, what is the standard deviation?

Summary:

For the given variance for a data set 1.20, the standard deviation is 1.095