The meaning of each day set that follows is 10 which data set is more spread out just to file answer using the main absolute deviation of Each data set Round your answer to the nearest 10th
Data set #1 Five, Eight, Nine, 10, 12,12, 14
Data site #2 Five, Six, Eight, Nine, 10,10,22
To find the mean absolute deviation for each data set, we first need to find the mean of each set.
Data Set #1:
Mean = (5 + 8 + 9 + 10 + 12 + 12 + 14) / 7
Mean = 70 / 7
Mean = 10
Next, we calculate the absolute deviation for each value in the set:
|5 - 10| = 5
|8 - 10| = 2
|9 - 10| = 1
|10 - 10| = 0
|12 - 10| = 2
|12 - 10| = 2
|14 - 10| = 4
Then, we calculate the mean absolute deviation for Data Set #1:
(5 + 2 + 1 + 0 + 2 + 2 + 4) / 7
16 / 7
≈ 2.3
Data Set #2:
Mean = (5 + 6 + 8 + 9 + 10 + 10 + 22) / 7
Mean = 70 / 7
Mean = 10
Absolute deviations for each value:
|5 - 10| = 5
|6 - 10| = 4
|8 - 10| = 2
|9 - 10| = 1
|10 - 10| = 0
|10 - 10| = 0
|22 - 10| = 12
Mean absolute deviation for Data Set #2:
(5 + 4 + 2 + 1 + 0 + 0 + 12) / 7
24 / 7
≈ 3.4
Therefore, Data Set #2 is more spread out.