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

question 3

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?

---

Definitions:

Research Evidence

Information and findings gathered through systematic investigation, used to support or refute an argument, hypothesis, or theory.

Trite Expression

A phrase or statement that has been overused to the extent that it loses its originality and impact.

Cliché

A phrase or opinion that is overused and betrays a lack of original thought.

Central Selling Point

The unique advantage or feature of a product or service that is emphasized to attract customers.