Question

evaluating an outliers effect on mean absolute deviation
tammy’s last four homework scores were 68, 76, 70, and 74. the mean absolute deviation of her scores is 3.
tammy worked hard on yesterday’s assignment and feels confident that this homework score will be at least a 90.
predict what will happen to her mean absolute deviation if she is correct:
tammy was correct. she earned a 92! the new mean absolute deviation is now that they are 68, 76, 70, 74, and 92 is: 6.4.
options: it will stay the same. it will go up. it will go down.

Explanation:

The mean absolute deviation (MAD) measures the average distance of data points from the mean. Initially, Tammy's scores are 68, 76, 70, 74 (MAD = 3). When adding a new score of 92 (which is far from the original mean), the new data set has a point with a larger deviation from the new mean. This increases the average distance of points from the mean, so the MAD will go up.

Answer:

It will go up.