Summarize the center of the data set below by determining the median.
96, 98, 56, 88
4 answers
The median of this data set is 92.
What is the mean average deviation (MAD) of the data set shown below? Round your answer to the nearest tenth when necessary.
45, 49, 43, 40, 33
45, 49, 43, 40, 33
To find the mean absolute deviation (MAD), you first need to find the mean of the data set:
Mean = (45+49+43+40+33)/5 = 42
Next, find the absolute deviation of each data point from the mean, by subtracting the mean from each data point and taking the absolute value:
|45 - 42| = 3
|49 - 42| = 7
|43 - 42| = 1
|40 - 42| = 2
|33 - 42| = 9
Then, find the average of the absolute deviations:
(3+7+1+2+9)/5 = 4.4
So the mean absolute deviation (MAD) of the data set is approximately 4.4 (rounded to the nearest tenth).
Mean = (45+49+43+40+33)/5 = 42
Next, find the absolute deviation of each data point from the mean, by subtracting the mean from each data point and taking the absolute value:
|45 - 42| = 3
|49 - 42| = 7
|43 - 42| = 1
|40 - 42| = 2
|33 - 42| = 9
Then, find the average of the absolute deviations:
(3+7+1+2+9)/5 = 4.4
So the mean absolute deviation (MAD) of the data set is approximately 4.4 (rounded to the nearest tenth).
Summarize the center of the data set below by determining the median.
20, 18, 26, 24, 32
20, 18, 26, 24, 32