Question

The dotplot below displays the scores of 26 students on a 30-point statistics quiz. The title of the dotplot is "Statistics Quiz," and a number line from 10 to 30 in increments of 5 is labeled "Scores (in points)." The data points are as follows: 12, 1; 14, 1; 15, 1; 16, 1; 20, 1; 22, 1; 23, 2; 24, 3; 25, 3; 26, 4; 27, 3; 28, 2; 29, 2; 30, 1. Which of the following statements best describes the dotplot?

a) The majority of students scored between 10 and 15 points on the quiz.
b) The most common score on the quiz is 24 points.
c) A significant number of students scored above 25 points on the quiz.
d) The distribution of scores is relatively uniform across all point values.

Answer 1

The dotplot displays the scores of 26 students on a statistics quiz. It shows that a significant number of students scored above 25 points on the quiz, with the most common score being 24 points.

Step-by-step explanation:

The dotplot displays the scores of 26 students on a 30-point statistics quiz. From analyzing the data points, we can observe that:

1. The majority of students scored between 20 and 30 points on the quiz, as there are more data points in that range than any other.
2. The most common score on the quiz is 24 points, as it has the highest frequency of occurrence.
3. A significant number of students scored above 25 points on the quiz, as there are multiple data points in the 26-30 range.
4. The distribution of scores is not relatively uniform across all point values, as the dotplot shows clustering of scores in certain ranges.

Based on this analysis, the best description of the dotplot is option c) A significant number of students scored above 25 points on the quiz.