Question

there are 8 sophomores on the academic team. at the last competition, they each took the math test. their scores were 82%, 92%, 76%, 72%, 92%, 74%, 80%, and 78%. what was the median math score of the sophomores? 79% 82% 87% 92%

Explanation:

Step1: Sort the scores

First, sort the scores in ascending order: \(72\%,74\%,76\%,78\%,80\%,82\%,92\%,92\%\)

Step2: Find the median

Since there are \(n = 8\) (even number of data points), the median is the average of the \(\frac{n}{2}\)th and \((\frac{n}{2}+1)\)th values.
\(\frac{n}{2}=\frac{8}{2} = 4\) and \(\frac{n}{2}+1=4 + 1=5\)
The \(4\)th value is \(78\%\) and the \(5\)th value is \(80\%\)
Median\(=\frac{78\%+80\%}{2}=\frac{158\%}{2}=79\%\)

Answer:

79%