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:

Step1: Analyze the shape of the histogram

In a skewed - left distribution, the tail of the histogram is on the left side. Here, the frequencies start low, increase, and then the decrease from the peak to the right is less steep compared to the increase from the left. This is characteristic of a skewed - left distribution.

Step2: Determine the measure of center for a skewed distribution

For a skewed distribution (either skewed - left or skewed - right), the median is a better measure of center than the mean. The mean is affected by extreme values (in a skewed distribution, the tail has extreme values). The median is the middle value and is not as sensitive to extreme values.

Answer:

a. Skewed - left
b. median