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 approximately uniform because the bars are approximately the same height.
b. the shape of the distribution is approximately symmetric because the bars have a tail to the left and to the right.
c. the shape of the distribution is approximately skewed right because the bars have a tail to the right.
d. the shape of the distribution is approximately skewed left because the bars have a tail to the left.
e. the shape of the distribution is none of these because the bars do not show any of these general trends.

Explanation:

Analyze the heights of the histogram bars

The heights of the bars across the entire range from \(x = 1\) to \(x = 12\) are all very close to each other, fluctuating slightly between approximately 12 and 14.

Evaluate the distribution shape definitions

A distribution is uniform when all classes have approximately equal frequencies, which corresponds to bars of nearly equal height.

Match with the correct multiple-choice option

Option A correctly identifies the distribution as approximately uniform because the bars are approximately the same height.

Answer:

• (A) The shape of the distribution is approximately uniform because the bars are approximately the same height. (Correct answer)
• (B) The shape of the distribution is approximately symmetric because the bars have a tail to the left and to the right.
• (C) The shape of the distribution is approximately skewed right because the bars have a tail to the right.
• (D) The shape of the distribution is approximately skewed left because the bars have a tail to the left.
• (E) The shape of the distribution is none of these because the bars do not show any of these general trends.