Question

(08.02 MC)

The dot plots below show the scores for a group of students for two rounds of a quiz:
Round 1
945
2 3 4 5
Score

Answer 1

If you would count the Dots in round 1 and 2, you would see that both are numbered to 8 Dots meaning both are the same except by stages where stage 1-3 are none except round 2 is lower in stage 4 but higher in stage 5. Despite this, I think the answer is B. The range of each round is the same.

Answer 2

B) The range of each round is the same.

Explanation:

The overlap between data in a dot plot refers to the situation where multiple data points share the same position or coordinate on the plot, resulting in dots appearing on top of one another.

As both dot plots have dots on top of one another, there is overlap between the data.

The range of a dot plot is the difference between the maximum and minimum values in the dataset displayed on the dot plot.

• Range of the Round 1 scores = 5 - 4 = 1
• Range of the Round 2 scores = 5 - 4 = 1

Therefore, the range of each round is the same.

For Round 1, there are six scores of 4 points, and two scores of 5 points, making a total of 34 points.

⇒ 6 × 4 + 2 × 5 = 24 + 10 = 34

For Round 2, there are four scores of 4 points, and four scores of 5 points, making a total of 36 points.

⇒ 4 × 4 + 4 × 5 = 16 + 20 = 36

Therefore:

• Round 2 scores are higher than Round 1 scores
• Round 1 scores are lower than Round 2 scores.