Question

d. how many boys had a pulse rate of at most 82?

1. the heights of 20 basketball players, in inches, are given below.

68, 70, 70, 71, 75, 80, 81, 82, 84, 75
75, 80, 75, 77, 75, 80, 83, 80, 71, 70
a) make a dot plot using the number line below.
68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84
b) what is the spread (range) of the data?
c) what is the mode of the data?
d) how many players are greater than 70 inches tall?

Explanation:

Step1: Find the range

The range is calculated by subtracting the minimum value from the maximum value.
The minimum value is \(68\) and the maximum value is \(84\).
\(84 - 68=16\)

Step2: Find the mode

The mode is the value that appears most frequently.
Count the frequency of each value:

• \(68:1\)
• \(70:3\)
• \(71:2\)
• \(75:5\)
• \(77:1\)
• \(80:4\)
• \(81:1\)
• \(82:1\)
• \(83:1\)
• \(84:1\)

The value \(75\) appears most frequently.

Step3: Count players taller than 70 inches

Count the number of values greater than \(70\) in the data set:
\(71,75,80,81,82,84,75,80,75,77,75,80,83,80,71\)
There are \(16\) such values.

Answer:

b) \(16\)
c) \(75\)
d) \(16\)