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: Order the scores

First, we need to order the given scores from least to greatest. The scores are 82%, 92%, 76%, 72%, 92%, 74%, 80%, and 78%. When we order them, we get: 72%, 74%, 76%, 78%, 80%, 82%, 92%, 92%.

Step2: Find the median

Since there are 8 scores (an even number of data points), the median is the average of the two middle numbers. The two middle numbers are the 4th and 5th numbers in the ordered list. The 4th number is 78% and the 5th number is 80%. To find the average, we calculate $\frac{78 + 80}{2}=\frac{158}{2} = 79$. So the median score is 79%.

Answer:

79%