Question

consider the histogram below. a. determine the shape of the distribution. uniform bell - shaped skewed - right skewed - left b. based on the shape of the histogram above, what measure of center should be used? mean median

Explanation:

• a. A uniform distribution has bars of approximately equal height. In the given histogram, the bars are not of equal height. A bell - shaped distribution has a single peak and is symmetric. A skewed - right distribution has a longer tail on the right, and a skewed - left distribution has a longer tail on the left. Since the bars are approximately of the same height (with some minor variations), it is a uniform distribution.
• b. For a uniform distribution, the mean is a good measure of center. The mean takes into account all the values in the data set. The median is more appropriate for skewed distributions.

Answer:

a. Uniform
b. mean