The line plot shows the heights of the players on a basketball team, in inches.

Question

A line plot named "Heights of Players" shows data from sixty-eight to seventy-four inches. Sixty-eight and one-half has one dot. Sixty-nine and one-half has three dots. Seventy has one dot. Seventy-one has four dots. Seventy-one and one-half has two dots. Seventy-four has one dot.

Part A
What is the difference in height between the tallest and shortest player on the team, in inches?

(1 point)
Responses

3
inches

3 inches

512
inches

5 1 2 inches

6
inches

6 inches

612
inches

6 1 2 inches
Question 2
Part B
What fraction of the team is 6912
inches tall?

(1 point)
Responses

13

1 3

14

1 4

310

3 10

38

3 8

Answer 1

To answer these questions, let's first summarize the data provided in the line plot:

• Heights and their corresponding counts:
  • 68.5 inches: 1 dot
  • 69.5 inches: 3 dots
  • 70 inches: 1 dot
  • 71 inches: 4 dots
  • 71.5 inches: 2 dots
  • 74 inches: 1 dot

Part A

To find the difference in height between the tallest and shortest player:

• The shortest player is 68.5 inches tall.
• The tallest player is 74 inches tall.

Now, calculate the difference: \[ 74 - 68.5 = 5.5 \]

So, the difference in height between the tallest and shortest player is 5.5 inches.

Part B

We need to find the fraction of the team that is 69.5 inches tall. From the line plot summary:

• The height of 69.5 inches has 3 dots, which means 3 players are 69.5 inches tall.
• The total number of players is 1 + 3 + 1 + 4 + 2 + 1 = 12 players.

Now, we can find the fraction: \[ \text{Fraction of team that is 69.5 inches tall} = \frac{3 \text{ players}}{12 \text{ players}} = \frac{1}{4} \]

Answers:

• Part A: 5.5 inches
• Part B: \( \frac{1}{4} \)