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

question 52

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:

Public Good

A good that is non-excludable and non-rivalrous, meaning it can be used by everyone and one person's use does not reduce availability to others.

Government Provision

Public goods and services provided by the government for the benefit of its citizens.

Total Surplus

The sum of consumer surplus and producer surplus, representing the total net benefit to society from the production and consumption of a good or service.

Cost-Benefit Analysis

An economic evaluation method that compares the relative costs and benefits associated with a proposed project or decision.