Question

Bob and Sue were two students who were having a friendly argument about who had been more consistent in their math quiz grades. Bob had scored: 80, 90, 95, 85, & 70 on his quizzes. While Sue had scored: 70, 75, 90, 100, & 95 on hers.

Find the mean absolute deviation for each of them and then answer the two questions:
Bob's mean:
Sue's mean:
Bob's MAD:
Sue's MAD:
Who's doing better on the quizzes?
Who's more consistent in their quiz scores?

Answer 1

Bob's mean score is 84 with a MAD of 7.2, and Sue's mean is 86 with a MAD of 9.2. Sue scored higher on average, but Bob is more consistent in terms of his quiz scores.

Step-by-step explanation:

To find who is doing better and who is more consistent in their quiz scores between Bob and Sue, we must calculate the mean and the mean absolute deviation (MAD) for each of them. The mean is the average of the scores, and the MAD is a measure of consistency, with a lower MAD indicating more consistency.

Bob's Scores:

• Mean: (80 + 90 + 95 + 85 + 70) / 5 = 84
• MAD: |80-84| + |90-84| + |95-84| + |85-84| + |70-84| / 5 = 7.2

Sue's Scores:

• Mean: (70 + 75 + 90 + 100 + 95) / 5 = 86
• MAD: |70-86| + |75-86| + |90-86| + |100-86| + |95-86| / 5 = 9.2

Bob's mean score is 84, and his MAD is 7.2. Sue's mean score is 86, and her MAD is 9.2. Sue has a higher average score, but Bob has a lower MAD, indicating that he is more consistent with his quiz scores.