Question

a spinner is divided into five sections numbered 1 through 5. juana records the number the spinner lands on for each of 50 spins. she computes and graphs the relative frequencies for each number. which of the following describes the probability distribution?

relative frequency of numbers spun

constant
symmetric

Explanation:

Analyze the shape of the distribution

Using the Skewed Right knowledge point
The given bar graph displays the relative frequencies of numbers spun on a spinner.

• The value \(x = 1\) has a very high relative frequency of \(0.5\).
• The values \(x = 2, 3, 4, 5\) each have a much lower, equal relative frequency of \(0.125\) (since \(0.5 + 4 \times 0.125 = 1.0\)).
• This distribution has a single peak on the far left at \(x = 1\), and a long tail stretching to the right toward the larger numbers \(2, 3, 4, 5\).
• A distribution with a peak on the left and a tail extending to the right is classified as skewed right.

Evaluate the given options

• constant: A constant (or uniform) distribution would have bars of approximately equal height across all values. This is not the case here.
• symmetric: A symmetric distribution would look the same on both sides of a central peak. This graph is highly asymmetric.
• skewed right: This matches the visual profile of a peak on the left and a long tail extending to the right.

Answer:

• constant
• symmetric
• skewed right (Correct answer)