The Following Data Represent the Scores of 50 Students on a Statistics

question 125

Essay

The following data represent the scores of 50 students on a statistics exam. $$\begin{array} { l l l l l l l l l l } 39 & 51 & 59 & 63 & 66 & 68 & 68 & 69 & 70 & 71 \\71 & 71 & 73 & 74 & 76 & 76 & 76 & 77 & 78 & 79 \\79 & 79 & 79 & 80 & 80 & 82 & 83 & 83 & 83 & 85 \\85 & 86 & 86 & 88 & 88 & 88 & 88 & 89 & 89 & 89 \\90 & 90 & 91 & 91 & 92 & 95 & 96 & 97 & 97 & 98\end{array}$$
a. Find the lower quartile, the upper quartile, and the median of the scores.
b. Find the interquartile range of the data and use it to identify potential outliers.
c. In a box plot for the data, which scores, if any, would be outside the outer fences?
Which scores, if any, would be outside the inner fences but inside the outer fences?

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Definitions:

Morally Correct

Pertains to actions or behaviors that are considered right, ethical, and acceptable within the framework of a particular moral or ethical system.

American Culture

A complex blend of values, traditions, and practices influenced by diverse ethnic groups, historically shaped by immigration and innovation.

Traditions

The transmission of customs, beliefs, and cultural practices from one generation to another, often serving as a cornerstone of societal continuity and identity.

Memory Impairment

A decline in the ability to remember events, information, or how to perform tasks, which can be temporary or permanent.