the dotplot below displays 26 students scores on a 30 - point statistics quiz. which of the following…

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 skewed left 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 unimodal 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 unimodal symmetric with a center around 26 and varies from 20 to 30. there are possible outliers at 12, 14, 15, and 16.

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 skewed left 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 unimodal 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 unimodal symmetric with a center around 26 and varies from 20 to 30. there are possible outliers at 12, 14, 15, and 16.

Answer

Explanation:

Step1: Analyze the shape of the distribution

Looking at the dot - plot, the tail of the distribution extends to the left (towards the lower scores). A distribution is skewed left if the tail is on the left - hand side. In a unimodal symmetric distribution, the left and right sides are mirror images. Here, it is not symmetric.

Step2: Determine the center

By visual inspection (counting the number of dots and finding the middle - most value range), the center (a measure of central tendency, can be thought of as where the "thickest" part of the distribution is) is around 24.

Step3: Check the range and outliers

The scores range from 12 to 30. The values 12,14,15,16 are separated from the main cluster of data (where most of the dots are concentrated around 24). In a dot - plot, values that are far from the main cluster can be considered as possible outliers.

Answer:

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.