Final answer:
To find the mean absolute deviation, calculate the mean of the scores and then find the average absolute deviation from the mean.
Step-by-step explanation:
To find the mean absolute deviation of the scores, we first need to find the mean of the scores. The mean is calculated by adding up all the scores and dividing by the number of scores. For the given scores, the mean is (98 + 78 + 84 + 75 + 91) / 5 = 86.
Next, we find the absolute deviation of each score from the mean. The absolute deviation is the absolute value of the difference between each score and the mean. For example, the absolute deviation of 98 from the mean of 86 is |98 - 86| = 12.
We calculate the absolute deviation for each score and then find the average of these absolute deviations. For the given scores, the absolute deviations are 12, 8, 2, 11, and 5, and the average is (12 + 8 + 2 + 11 + 5) / 5 = 7.6.
Therefore, the mean absolute deviation of the scores is 7.6.