Analysis of Mean and Median Scores

Consider the following dataset representing the exam scores of 20 students in a mathematics course:

65, 70, 75, 80, 85, 88, 90, 92, 95, 96, 97, 98, 99, 100, 100, 100, 95, 90, 85, 80.

Based on this data, calculate the mean and the median scores.

Let:

• Mean: The average score calculated by summing all scores and dividing by the number of scores.
• Median: The middle value when the scores are arranged in ascending order. If the number of scores is even, the median is the average of the two middle values.

Using your calculations, determine whether the mean is greater than, less than, or equal to the median score.