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Stella [2.4K]
2 years ago
11

HELP ASAP!! I need this answer quickly it’s due in 15 minutes! TY!!

Mathematics
1 answer:
Margarita [4]2 years ago
3 0

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

Step-by-step explanation:

Finding the mean:

<h2><u>Data set 1:</u></h2>

<u>formula</u>: sum of the data set / total number of terms

<u>sum of the data set:</u> 18 + 29 + 35 + 58 + 65 = 205

<u>total number of terms:</u> there is 5 numbers in the data set

<u>mean</u> = 205 / 5

<u>mean</u> = 41

<u>MAD (Mean Absolute Value):</u>

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              <em> (41 - 18 = 23)</em>

Distance between 29 and 41 is 12              <em> (41 - 29 = 12)</em>

Distance between 35 and 41 is 6               <em> (41 - 35 = 6)</em>

Distance between 58 and 41 is -17            <em> (41 - 58 = -17)</em>

Distance between 65 and 41 is -24           <em> (41 - 65 = -24)</em>

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

<h2><u>Data set 2:</u></h2>

<u>formula</u>: sum of the data set / total number of terms

<u>sum of the data set:</u> 19 + 26 + 27 + 45 + 73 = 190

<u>total number of terms:</u> there is 5 numbers in the data set

<u>mean</u> = 190 / 5

<u>mean</u> = 38

<u>MAD (Mean Absolute Value):</u>

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               <em> (38 - 19 = 19)</em>

Distance between 26 and 38 is 12             <em> (38 - 26 = 12)</em>

Distance between 27 and 38 is 11              <em> (38 - 27 = 11)</em>

Distance between 45 and 38 is -7             <em> (38 - 45 = -7)</em>

Distance between 73 and 38 is -35           <em> (38 - 73 = -35)</em>

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 !

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