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5. the heights of 20 basketball players, in inches, are given below. 68…

Question

  1. the heights of 20 basketball players, in inches, are given below. 68, 70, 70, 71, 75, 80, 81, 84, 75,75, 80, 75, 77, 75, 80, 83, 80, 71, 70. make a dot - plot. (3 points) how many players are 75 inches and less? how many players are greater than 70 inches tall? what percentage of the players 75 inches and taller?

Explanation:

Step1: Count players 75 inches and less

Count the number of data - points that are 75 or less in the given data set: 68, 70, 70, 71, 75, 75, 75, 75, 71, 70. There are 11 such values.

Step2: Count players greater than 70 inches

Count the number of data - points that are greater than 70 in the given data set: 71, 75, 80, 81, 82, 84, 75, 75, 80, 75, 77, 75, 80, 83, 80, 71. There are 16 such values.

Step3: Calculate percentage of players 75 inches and taller

First, count the number of players 75 inches and taller. The values are 75, 75, 80, 81, 82, 84, 75, 75, 80, 75, 77, 75, 80, 83, 80. There are 15 such values. The total number of players is 20. The percentage is $\frac{15}{20}\times100\% = 75\%$. But we are not asked to calculate the percentage in the multiple - choice options. Just answering the count questions.

Answer:

How many players are 75 inches and less? e. 11
How many players are greater than 70 inches tall? d. 16
What percentage of the players 75 inches and taller? (No correct option given in the list as we calculated 75% and no such option is there)