Twenty-Eight Applicants Interested in Working for the Food Stamp Program

question 90

Short Answer

Twenty-eight applicants interested in working for the Food Stamp program took an examination designed to measure their aptitude for social work. A stem-and-leaf plot of the 28 scores appears below, where the first column is the count per "branch," the second column is the stem value, and the remaining digits are the leaves.
a. Should the Empirical Rule be applied to this data set?
______________
b. Use the range approximation to determine an approximate value for the standard deviation.
______________
Is this a good approximation?
______________

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Definitions:

Intercostal Space

The anatomical space between two ribs, which contains intercostal muscles, nerves, and blood vessels, playing a key role in the mechanics of breathing.

Systolic Phase

A phase in the cardiac cycle where the heart contracts, pumping blood out of the ventricles and into the arteries; typically measured as the top number in blood pressure readings.

Aortic Valve

One of the four heart valves that controls blood flow from the heart into the aorta, the body's main artery.

Mitral Valve

A valve in the heart that lies between the left atrium and left ventricle, ensuring unidirectional blood flow through the heart.