Question

determine whether the approximate shape of the distribution in the histogram shown is symmetric, uniform, skewed left, skewed right, or none of these. justify your answer.

choose the correct answer below.

a. the shape of the distribution is uniform because the bars are approximately the same height.
b. the shape of the distribution is skewed left because the bars have a tail to the left.
c. the shape of the distribution is skewed right because the bars have a tail to the right.
d. the shape of the distribution is symmetric, but not uniform, because a vertical line can be drawn down the middle, creating two halves that look approximately the same.
e. the shape of the distribution is none of these because the bars do not show any of these general trends.

Explanation:

Analyze the histogram's visual trend

The highest bars are located on the left side of the graph (representing lower values between 15,000 and 35,000). As the values increase along the horizontal axis, the heights of the bars decrease, creating a long tail that extends to the right.

Determine the distribution shape

A distribution with a long tail extending to the right is classified as skewed right.

Match with the correct option

Option C correctly identifies the shape as skewed right because the bars have a tail to the right.

Answer:

• A. The shape of the distribution is uniform because the bars are approximately the same height.
• B. The shape of the distribution is skewed left because the bars have a tail to the left.
• C. The shape of the distribution is skewed right because the bars have a tail to the right. (Correct answer)
• D. The shape of the distribution is symmetric, but not uniform, because a vertical line can be drawn down the middle, creating two halves that look approximately the same.
• E. The shape of the distribution is none of these because the bars do not show any of these general trends.