Answer:
mean for data set 1 is 41
data set 1 MAD is 16.4
data set 2 MAD is 16.8
mean for data set 2 is 38
Explanation:
Finding the mean:
Data set 1:
formula: sum of the data set / total number of terms
sum of the data set: 18 + 29 + 35 + 58 + 65 = 205
total number of terms: there is 5 numbers in the data set
mean = 205 / 5
mean = 41
MAD (Mean Absolute Value):
step 1: Find the mean of the data (above)
step 2: Find the distance between each data and mean.
18, 29, 35, 58, 65
Distance between 18 and 41 is 23 (41 - 18 = 23)
Distance between 29 and 41 is 12 (41 - 29 = 12)
Distance between 35 and 41 is 6 (41 - 35 = 6)
Distance between 58 and 41 is -17 (41 - 58 = -17)
Distance between 65 and 41 is -24 (41 - 65 = -24)
step 3: take the absolute value of any negative numbers
|-17| and |-24| is 17 and 24
step 4: add all the distances
23 + 12 + 6 + 17 + 24 = 82
step 5: divided it by the number of data
82 / 5 = 16.4
Data set 2:
formula: sum of the data set / total number of terms
sum of the data set: 19 + 26 + 27 + 45 + 73 = 190
total number of terms: there is 5 numbers in the data set
mean = 190 / 5
mean = 38
MAD (Mean Absolute Value):
step 1: Find the mean of the data (above)
step 2: Find the distance between each data and mean.
19, 26, 27, 45, 73
Distance between 19 and 38 is 19 (38 - 19 = 19)
Distance between 26 and 38 is 12 (38 - 26 = 12)
Distance between 27 and 38 is 11 (38 - 27 = 11)
Distance between 45 and 38 is -7 (38 - 45 = -7)
Distance between 73 and 38 is -35 (38 - 73 = -35)
step 3: take the absolute value of any negative numbers
|-7| and |-35| is 7 and 35
step 4: add all the distances
19 + 11 + 12 + 7 + 35 = 84
step 5: divided it by the number of data
84 / 5 = 16.8
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