Lesson 3

What a Point in a Scatter Plot Means

The practice problem answers are available at one of our IM Certified Partners

Problem 1

Here is a table and a scatter plot that compares points per game to free throw attempts for a basketball team during a tournament.

player

free throw
attempts

points
player A 5.5 28.3
player B 2.1 18.6
player C 4.1 13.7
player D 1.6 10.6
player E 3.1 10.4
player F 1 5
player G 1.2 5
player H 0.7 4.7
player I 1.5 3.7
player J 1.5 3.5
player K 1.2 3.1
player L 0 1
player M 0 0.8
player N 0 0.6
Scatterplot, free throw attempts per game, 0 to 6 by 1, points per game, 0 to 30 by 5. Points given by accompanying table.

  1. Circle the point that represents the data for Player E.
  2. What does the point \((2.1,18.6)\) represent?
     
  3. In that same tournament, Player O on another team scored 14.3 points per game with 4.8 free throw attempts per game. Plot a point on the graph that shows this information.

Problem 2

Select all the representations that are appropriate for comparing exam score to number of hours of sleep the night before the exam.

A:

Histogram

B:

Scatter plot

C:

Dot plot

D:

Table

E:

Box plot

(From Grade8, Unit 6, Lesson 2.)

Problem 3

A cylinder has a volume of \(36\pi\) cm3 and height \(h\). Complete this table for the volume of other cylinders with the same radius but different heights.

height (cm) volume (cm3)
\(h\) \(36\pi\)
\(2h\)
\(5h\)
\(\frac h2\)
\(\frac h5\)
(From Grade8, Unit 5, Lesson 17.)