Question

the dotplot below displays 26 students scores on a 30 - point statistics quiz. which of the following statements best describes the dotplot? the distribution of quiz scores is symmetric with a center around 24 and varies from 12 to 30. there are possible outliers at 12, 14, 15, and 16. the distribution of quiz scores is symmetric with a center around 26 and varies from 20 to 30. there are possible outliers at 12, 14, 15, and 16. the distribution of quiz scores is unimodal with a center around 24 and varies from 12 to 30. there are possible outliers at 12, 14, 15, and 16. the distribution of quiz scores is skewed right with a center around 24 and varies from 12 to 30. there are possible outliers at 12, 14, 15, and 16. the distribution of quiz scores is skewed left with a center around 24 and varies from 12 to 30. there are possible outliers at 12, 14, 15, and 16.

Explanation:

Step1: Analyze the distribution shape

The dot - plot shows more data points on the lower - end of the scores (around 20 - 25) and fewer on the higher - end (25 - 30), and some isolated points at 12, 14, 15, 16, which are relatively far from the main cluster. This indicates a right - skewed distribution.

Step2: Identify the center

The center of the data appears to be around 24 as most of the data is clustered around this value.

Step3: Identify outliers

The scores 12, 14, 15, 16 are relatively far from the main cluster of data (around 20 - 30), so they are possible outliers.

Answer:

The distribution of quiz scores is skewed right with a center around 24 and possible outliers at 12, 14, 15, and 16.