Find the mean absolute deviation (MAD) of the data in the bar chart below.
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Mean absolute deviation of the given data is 1.5
The average absolute deviation of a data set is the average of the absolute deviations from a central point.
The arithmetic mean, also known as arithmetic average, is a measure of central tendency of a finite set of numbers
From the given bar chart
Mean = Sum of the terms / Number of terms
Mean = [tex]\frac{4+5+6+1}{4}=4[/tex]
Mean absolute deviation = [tex]\frac{1}{n}[/tex]∑ | mean- x|
MAD = [tex]\frac{|4-4|+|4-5|+|4-6|+|4-1|}{4} =\frac{0+1+2+3}{4}=1.5[/tex]
Hence, Mean absolute deviation of the given data is 1.5
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