Fifty students were asked to run a 100-meter dash. The data below represents the time it took to finish the dash. The mean time for the 50 students is 15.8 seconds, and the standard deviation is approximately 3.29 seconds.
8, 13, 15, 16, 18
9, 14, 15, 17, 19
10, 14, 16, 17, 19
11, 14, 16, 17, 20
12, 14, 16, 17, 20
12, 14, 16, 17, 21
12, 14, 16, 18, 21
12, 15, 16, 18, 21
13, 15, 16, 18, 23
13, 15, 16, 18, 23
A. Determine the frequency and relative frequency (or percentage) of the time periods it took the 50 students to finish the dash that are within one standard deviation from the mean. Show your solutions.
B. Determine the frequency and relative frequency (or percentage) of the time periods it took each of the 50 students to finish the dash that are within two standard deviations from the mean. Show your solutions.
C. Determine the frequency and relative frequency (or percentage) of the time periods it took each of the 50 students to finish the dash that are within three standard deviations from the mean. Show your solutions.