The mean absolute deviation (MAD) is 12/5 of the given data of set.
What is the mean absolute deviation (MAD)?
The mean absolute deviation is defined as the absolute value of the mean and removed from each value before summing them all. We then divide the result by the number of numbers.
What is the arithmetic mean?
Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean. One of the basic methods used to acquire a result, the term "Mean" is commonly used in the field of statistics.
The formula for the mean of a given set of data is as follows:
Mean = Sum of Observations/Total number of observations
Given that the total number of observations (n) = 5
Total Number of snow days (∑x) = 6+8+3+2+6 =25
Mean = ∑x/n
Mean = 25/5
Mean = 5
Absolute deviation about mean [tex](x-\bar{x})[/tex] = |6-5|, |8-5|, |3-5|, |2-5|, |6-5|
= 1, 3, 2, 3, 1
Total of absolute deviation as 1+3+2+3+1 = 21
The mean absolute deviation (MAD) = [tex]\dfrac{(x-\bar{x})}{n}[/tex]
The mean absolute deviation (MAD) = 12/5
Hence, the mean absolute deviation (MAD) is 12/5 of the given data of set.
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