Question

The mean absolute deviation of Dataset #1 is 48.2. Dataset #2 follows. Which dataset is more spread out? Dataset #2: 401, 467, 489, 503, 568 (1 point) Responses Dataset #1 is more spread out because it has a mean absolute deviation of 48.2 whereas Dataset #2 has a mean absolute deviation of 41.28. Dataset #1 is more spread out because it has a mean absolute deviation of 48.2 whereas Dataset #2 has a mean absolute deviation of 41.28. Dataset #2 is more spread out because it has a mean absolute deviation of 485.6 whereas Dataset #1 has a mean absolute deviation of only 48.2. Dataset #2 is more spread out because it has a mean absolute deviation of 485.6 whereas Dataset #1 has a mean absolute deviation of only 48.2. Dataset #2 is more spread out because it has a mean absolute deviation of 41.28, whereas Dataset #1 has a mean absolute deviation of 48.2. Dataset #2 is more spread out because it has a mean absolute deviation of 41.28, whereas Dataset #1 has a mean absolute deviation of 48.2. Dataset #1 is more spread out because it has a mean absolute deviation of 48.2 whereas Dataset #2 has a mean absolute deviation of 0.

Answer 1

To determine which dataset is more spread out based on mean absolute deviation, we compare the mean absolute deviations of both datasets.

From the information provided:

• The mean absolute deviation of Dataset #1 is 48.2.
• For Dataset #2, it states that it has a mean absolute deviation of 41.28.

Since a higher mean absolute deviation indicates a greater spread of the data, we can conclude:

Dataset #1 is more spread out because it has a mean absolute deviation of 48.2, whereas Dataset #2 has a mean absolute deviation of 41.28.