To find the sum of the absolute deviations from the mean, we need to calculate the absolute value of the difference between each data point and the mean, and then sum them all up.
Absolute deviation for each data point:
|63 - 47.9| = 15.1
|25 - 47.9| = 22.9
|74 - 47.9| = 26.1
|52 - 47.9| = 4.1
|63 - 47.9| = 15.1
|12 - 47.9| = 35.9
|46 - 47.9| = 1.9
Sum of absolute deviations = 15.1 + 22.9 + 26.1 + 4.1 + 15.1 + 35.9 + 1.9 = 121.1
Therefore, the sum of the absolute deviations in the dataset is 121.1.
What is the sum of the absolute deviations in the following dataset: 63, 25, 74, 52, 63,
12, 46? The mean of the dataset is 47.9. Round to the nearest tenth. (1 point)
1 answer