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there are 8 sophomores on the academic team. at the last competition, t…

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 - two values

Since there are 8 scores (an even number of data points), the middle - two values are the 4th and 5th 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%