Question

Which statement most closely describes what the standard deviation of a distribution represents?(1 point)
Responses

The standard deviation represents the typical distance between two values in a data set.
The standard deviation represents the typical distance between two values in a data set.

The standard deviation represents the distance a typical value of the distribution is from the mean.
The standard deviation represents the distance a typical value of the distribution is from the mean.

The standard deviation represents the size of the inner quartile range of a distribution.
The standard deviation represents the size of the inner quartile range of a distribution.

The standard deviation represents the typical value of a distribution

Answer 1

The statement that most closely describes what the standard deviation of a distribution represents is:

**The standard deviation represents the distance a typical value of the distribution is from the mean.**

This definition captures the essence of standard deviation as a measure of variability in a data set, indicating how spread out the values are around the mean.