Question

Use the following list of resting pulse rates of 55 people. The mean of these rates is 73.5, and the standard deviation is approximately 13.2.50, 51, 51, 53, 53, 53, 55, 56, 56, 57, 58, 58, 59, 59, 6060, 60, 60, 62, 62, 64, 65, 65, 65, 68, 68, 69, 71, 71, 7272, 73, 75, 76, 77, 78, 78, 81, 81, 81, 82, 82, 82, 82, 8385, 85, 85, 88, 88, 90, 90, 91, 91, 92Determine the pulse rates that are within 1 standard deviation of the mean. What percentage of the total to the nearest 0.1 percent do these rates represent?

Answer 1

54.5%

Explanation:

Given that :

Mean pulse rate (m) = 73.5

Standard deviation (σ) = 13.2

Pulse rates within 1 standard deviation of the mean :

Mean ± 1(standard deviation )

73.5 - 13.2 < X < 73.5 + 13.2

60.3 < X < 86.7

Pulse rates : 50, 51, 51, 53, 53, 53, 55, 56, 56, 57, 58, 58, 59, 59, 6060, 60, 60, 62, 62, 64, 65, 65, 65, 68, 68, 69, 71, 71, 7272, 73, 75, 76, 77, 78, 78, 81, 81, 81, 82, 82, 82, 82, 8385, 85, 85, 88, 88, 90, 90, 91, 91, 92

Total number pulse rate within 1 standard deviation of the mean = 30

Percentage of the total :

(30 / 55) * 100%

0.5454 * 100%

= 54.54%

= 54.5%