Verified Answer :

Standard deviation is the square root of variance, so the std dev is \(\sqrt{169}=13\).

Answer:

The standard deviation of the variable is 13.

Step-by-step explanation:

Standard Deviation-

Standard deviation is a measure of how spread out or dispersed the numbers are.

Variance-

Variance is the average of the squared differences from the mean.

Square root of variance is standard deviation.

As given, the variance of a variable is 169, hence its standard deviation will be,

\(=\sqrt{169}=13\)