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A group of students played a game in which they earned points for answering questions correctly. The following dotplot shows the total number of points earned by each student.

Which of the following is the best description of the distribution of points earned?
A) Approximately normal
B) Bimodal without a gap
C) Bimodal with a gap
D) Skewed to the right without a gap
E) Skewed to the right with a gap

A group of students played a game in which they earned points for answering questions-example-1
User Mark Woodward
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2 Answers

17 votes
17 votes

Answer:

I believe the answer is C. I am so sorry if it's not right.

User Virtuoso
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23 votes
23 votes

Based on the image you sent, the best description of the distribution of points earned is:

**D) Skewed to the right without a gap.**

Here's why:

* **Skewed to the right:** The majority of the dots are concentrated on the left side of the graph, with fewer and fewer dots as you move towards the right side. This indicates that most students earned a lower number of points, while a smaller number of students earned higher scores.

* **Without a gap:** While there is a spread in the data, there isn't a clear separation or "gap" between two distinct groups of scores. The dots gradually decrease in frequency as the points increase.

The other options can be ruled out for the following reasons:

* **A) Approximately normal:** The distribution is clearly not symmetrical, so it wouldn't be considered normal.

* **B) Bimodal without a gap:** There isn't a clear second peak in the distribution, so it wouldn't be considered bimodal.

* **C) Bimodal with a gap:** Similar to B, there is no indication of a second peak or a gap between groups.

* **E) Skewed to the right with a gap:** While the distribution is skewed right, there isn't a noticeable gap between groups of scores.

Therefore, based on the visual evidence provided, option D is the most accurate description of the distribution of points earned in the game.

User Ron Myschuk
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3.4k points