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The stem-and-leaf plot shows the height, in inches, of the players on two different basketball teams. He many players on each team are less than 70 inches tall?

Austin collage Heigths of players in inches barton collage
leaf steam leaf
6 7 8 8 9 6 4 6 8
1 1 2 6 7 1 1 1 3 4 5
1 8 2

a. Austin College, 4; Barton College, 6
b. Austin College, 5; Barton College, 7
c. Austin College, 5; Barton College, 3
d. Austin College, 9, Barton College, 9

1 Answer

4 votes

Final answer:

According to the stem-and-leaf plot, Austin College has 5 players who are less than 70 inches tall, and Barton College has 6 players below that height.

Step-by-step explanation:

To determine how many players on each team are less than 70 inches tall, we need to look at the stem-and-leaf plot. In the context of this plot, the stem represents the 'tens' and the leaf represents the 'ones' of each height measurement in inches. For example, a leaf of 1 with a stem of 6 corresponds to a height of 61 inches.

For Austin College, the leaves attached to the stem 6 are 1, 1, 2, 6, and 7. Each of these corresponds to heights of 61, 61, 62, 66, and 67 inches respectively. Thus, there are 5 players on Austin College's team that are less than 70 inches tall.

For Barton College, the leaves attached to the stem 6 are 1, 1, 1, 3, 4, and 5. These correspond to heights of 61, 61, 61, 63, 64, and 65 inches respectively. Therefore, there are 6 players on Barton College's team that are less than 70 inches tall.

The correct option based on our findings from the stem-and-leaf plot would be Austin College, 5; Barton College, 6.

User Michael Tamm
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