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 !
