Median and Percentage Above Average in Math Scores

Very Hard Quantitative Comparisons Data Analysis

In a statistical analysis of the scores from a recent math competition, the following data was collected:

Scores: 92, 85, 74, 88, 90, 76, 95, 80

The mean score was calculated to be the total of these values divided by the number of scores. There are additional questions related to these scores:

Question 1: What is the median score?
Question 2: What percentage of students scored above the average score? Calculate this based on the data.

Let the average score be denoted by $A$, median by $M$, and let $P$ be the percentage of students scoring above $A$. Which of the following statements is true?

The median score $M$ is 88 and 37.5% of students scored above average.

The median score $M$ is 90 and 50% of students scored above average.

The median score $M$ is 86 and 25% of students scored above average.

The median score $M$ is 88 and 50% of students scored above average.

Hint

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