The 40 women in the sample recorded Sorted Race Times (min) their race times in various charity 5K 20.6 22.5 22.7 23.0 23.3 23.3 23.6 24A
races in the table at right. Keeping the 21.3 22.5 22.8 23.1 23.3 234 23.9 245
data from problem 5-1 in the calculator, 216 22.5 22.8 23.1 23.3 23.5 24.1 24.7
add the adjacent race times to another list. 22.2 22.6 22.9 23.1 23.3 23.5 24.4 24.9
22.3 22.6 23.0 23.2 23.3 23.5 24.4 25.7
Find the mean and standard
checksum: 928.7
deviation of the race times to four
decimal places. Justify your choice of standard deviation and use the proper notation.
b. Create a relative frequency histogram. Use an interval from 19 to 27 with a bin width
of 1. Label the top of each bar with its relative frequency.
a
a
c.
Use the relative frequencies on your histogram to calculate the percentage of racers in
this sample that had a time faster than 22 minutes. Remember, smaller times are faster.
What percentage of racers in this sample completed a race between 22 and 25 minutes?
What is the relationship between the area of the bars and the percentage of the sample?
d.