Question

goodwin, janiyah
the line plot shows the number of points a basketball player scored in each of his games during a season
points scored
12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27
points per game
which statement about the data is true?
the range is 15.
the distribution is sym
there is a cluster from 15 to 20 points.
there is a gap between 17 and 19 points.

Explanation:

Step1: Analyze Range

Range = Max - Min. Max is 25, Min is 12. So \( 25 - 12 = 13
eq 15 \). Eliminate first option.

Step2: Check Symmetry

The dots are more on left (15 - 17) and spread on right. Not symmetric. Eliminate second option.

Step3: Identify Cluster

From 15 - 20, there are multiple dots (15:2, 16:2, 17:3, 18:1, 19:2, 20:1) – a cluster.

Step4: Check Gap

Between 17 - 19: 18 has a dot, so no gap. Eliminate fourth option.

Answer:

There is a cluster from 15 to 20 points.