If the mean of the data set is 3.533. Then the mean absolute deviation for the data set will be 1.831.
How do find the mean absolute deviation of discrete data?
Suppose the data specified is of n sized as
[tex]\rm x_1, x_2, \cdots , x_n[/tex]
Let this data's mean will be μ
Then, the mean absolute deviation of this data is the mean of the absolute differences of the observations from the mean of the data they belong to.
It is calculated as:
[tex]\rm M.A.D = \dfrac{\sum_{i=1}^n|x_i - \mu|}{n}[/tex]
The data set is given below.
3, 5, 6, 3, 2, 2, 1, 0, 0, 4, 7, 4, 5, 5, 6
Then the mean of the data will be
Mean = (3 + 5 + 6 + 3 + 2 + 2 + 1 + 0 + 0 + 4 + 7 + 4 + 5 + 5 + 6)/15
Mean = 53/15
Mean = 3.533
Then the mean absolute deviation for the data set will be
[tex]\rm M.A.D = \dfrac{|3-3.533| + |5-3.533| + |6 - 3.533| + |3 - 3.533| + ...+|6-3.533|}{15}[/tex]
M.A.D. = 27.4665/15
M.A.D. = 1.831111
More about the mean absolute deviation link is given below.
https://brainly.com/question/10258446
#SPJ1
