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.

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 in the data set is \(68\) and the maximum value is \(84\).
$$\text{Range}=84 - 68$$
$$\text{Range}=16$$

Step2: Find the mode

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

• \(68\) appears \(1\) time.
• \(70\) appears \(3\) times.
• \(71\) appears \(2\) times.
• \(75\) appears \(5\) times.
• \(77\) appears \(1\) time.
• \(80\) appears \(4\) times.
• \(81\) appears \(1\) time.
• \(82\) appears \(1\) time.
• \(83\) appears \(1\) time.
• \(84\) appears \(1\) time.

The value \(75\) has the highest frequency.

Step3: Count the number of players greater than \(70\)

Count the number of data points greater than \(70\):
There are \(17\) data points (\(71,75,80,81,82,84,75,80,75,77,75,80,83,80,71,70\) (wait no, re - count properly).
Original data set: \(68,70,70,71,75,80,81,82,84,75,75,80,75,77,75,80,83,80,71,70\)
Number of values greater than \(70\): \(17\)

Answer:

b) The range is \(16\).
c) The mode is \(75\).
d) There are \(17\) players greater than \(70\) inches tall.