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: Arrange scores in ascending order

$72\%, 74\%, 76\%, 78\%, 80\%, 82\%, 92\%, 92\%$

Step2: Identify middle - values

Since there are 8 scores (an even number of data points), the median is the average of the 4th and 5th ordered values. The 4th value is $78\%$ and the 5th value is $80\%$.

Step3: Calculate the median

Median = $\frac{78\% + 80\%}{2}=\frac{158\%}{2}=79\%$

Answer:

$79\%$