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:

Conversion Cost

The sum of direct labor and manufacturing overhead costs, representing the expenses necessary to convert raw materials into finished goods.

Process Costing

An accounting methodology used for homogeneous products, allocating costs over the entire production process rather than per individual item.

Equivalent Unit

A concept used in process costing that converts partially completed units into a number of equivalent fully completed units.

Conversion

Conversion involves the process of transforming raw materials or inputs into finished products or outcomes in manufacturing and production contexts.