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:

Social Stability

The condition in which a society's social structures are functioning adequately, leading to the continuation and regularity of societal patterns and behaviors without major disruptions.

Social Identity

An individual's sense of self, shaped by their membership in social groups such as nationality, ethnicity, religion, and gender.

Positions Of Authority

Roles or titles within an organization or society imbued with the power to make decisions, enforce rules, and influence others.

Income Redistribution

The government policy or practice of adjusting the distribution of income in a population, usually by taxing the rich to provide for the poor.