Question

3.1: measures of center. extreme values and measure of center
determine the shape of the distribution pictured below and the measure of center that should be used.
based on the shape of the histogram above, what measure of center should be used?

Explanation:

Step1: Identify distribution shape

The bars in the histogram have approximately equal heights across the data - range, which is characteristic of a uniform distribution.

Step2: Select measure of center

For a uniform distribution, the mean and median are both valid measures of center. But the mean takes into account all values in the data - set and is a good representative measure when the distribution is symmetric (as in the case of a uniform distribution).

Answer:

Uniform
mean