Question

The mean of each dataset that follows is 62. Which dataset is less spread out? Justify your answer using the mean absolute deviation of each dataset. Round your answers to the nearest tenth.

Dataset #1: {51,53,56,60,72,80}
Dataset #2: {49,55,61,63,70,74}

(1 point)
Responses

Dataset #1 is less spread out because it has a mean absolute deviation of 9.3 whereas Dataset #2 has a mean absolute deviation of 7.
Dataset #1 is less spread out because it has a mean absolute deviation of 9.3 whereas Dataset #2 has a mean absolute deviation of 7.

Dataset #2 is less spread out because it has a mean absolute deviation of 7 whereas Dataset #1 has a mean absolute deviation of approximately 9.3.
Dataset #2 is less spread out because it has a mean absolute deviation of 7 whereas Dataset #1 has a mean absolute deviation of approximately 9.3.

Dataset #1 and Dataset #2 are equally spread because they both have a mean of 62.
Dataset #1 and Dataset #2 are equally spread because they both have a mean of 62.

Dataset #1 and Dataset #2 are equally spread because they both have a mean absolute deviation of 0.
Dataset #1 and Dataset #2 are equally spread because they both have a mean absolute deviation of 0.

Answer 1

Dataset #2 is less spread out because it has a mean absolute deviation of 7, which is smaller than the mean absolute deviation of Dataset #1, which is approximately 9.3. This means that the values in Dataset #2 are closer to the mean of 62 compared to the values in Dataset #1.