Question

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: Analyze the shape of the distribution

A uniform distribution has bars of approximately equal height. A bell - shaped distribution has a single peak in the middle. A skewed - right distribution has a tail on the right side, and a skewed - left distribution has a tail on the left side. In the given histogram, the bars are of relatively equal height (with some minor variations), so it is a uniform distribution.

Step2: Determine the measure of center

For a uniform distribution, the mean is a good measure of center. The mean takes into account all the values in the data set. In a uniform distribution, there are no extreme values (outliers) that would pull the mean in one direction. The median is also a measure of center, but for a uniform distribution, the mean is more appropriate as it uses all the data points in its calculation.

Answer:

Shape: Uniform; Measure of center: mean