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.%0D%0A%0D%0ADataset #1: {51,53,56,60,72,80} %0D%0ADataset #2: {49,55,61,63,70,74} %0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0ADataset #1 and Dataset #2 are equally spread because they both have a mean of 62.%0D%0ADataset #1 and Dataset #2 are equally spread because they both have a mean of 62.%0D%0A%0D%0ADataset #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.%0D%0ADataset #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.%0D%0A%0D%0ADataset #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.%0D%0ADataset #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.%0D%0A%0D%0ADataset #1 and Dataset #2 are equally spread because they both have a mean absolute deviation of 0.
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. The mean absolute deviation measures how spread out the data points are from the mean, therefore Dataset #2 has less variability compared to Dataset #1.
