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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

Let me know if you have any questions !

User Amquack
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