100 POINTS PLZ HELP 28, 45, 12, 34, 36, 45, 19, 20 Part 1: Find the mean of this set of data.

Part 2: Find the mean absolute deviation of this set of data.

Part 3: Using complete sentences, explain what your results for part A and B mean.

Explanation:

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1) Mean of the set of data: 29.88

2) Mean absolute deviation: 10.13

3) See explanation

Step-by-step explanation:

1) The mean of a set of data it is calculated as where N is the number of data in the set  is the value of each point in the  dataset For the set of data in this problem, we have: And the number of values is N = 8 Therefore, we can calculate the mean:

2)The mean absolute deviation of a set of data is given by where N is the number of values in the dataset are the single values is the mean of the dataset The dataset here is The mean, calculated in part 1), is And N = 8 Therefore the mean absolute deviation is

3)The mean of a dataset is the sum of the single values of the dataset divided by the number of values. The mean represents the value  for which, if the dataset would have N values all equal to , the sum of the values of the dataset would be the same as the sum of the actual values. The mean absolute deviation for a set of data represents the average of the absolute deviations of the single points from the mean of the dataset. This quantity gives a measure of the "dispersion" of the points around the mean: in fact, the larger the mean absolute deviation is, the more the points are "spread" around the mean of the dataset. Instead, if the mean absolute deviation is small, it means that the points are closer to the mean value.

Explanation: