Answer
a) Mean: 67.3
Standard Deviation: 10.3
b) 47 beats per minute; 87.5 beats per minute
Work Step by Step
a) We know that the mean is equal to the sum of all of the data points divided by the number of data points. Doing this, we find that the mean is 67.3 inches. In addition, using the standard deviation function in Microsoft Excel, we find that the standard deviation is 10.3.
b) We use the z-score of $\pm1.95$ to find:
$max=(1.95)(10.3)+67.3=87.5$
$min=(-1.95)(10.3)+67.3=47$
