The mean absolute deviation of the data set is 4.5.
What is mean absolute deviation?
'The mean absolute deviation is the mean distance between each data value and the mean of the data set.'
According to the given problem,
Mean = ( 3 + 4 + 9 + 13 + 16 ) / 5
= 45 / 5
= 9
We know,
∑( x - μ) / N
Where, x = data points
μ = Mean
N = Number of data points.
⇒ Mean absolute deviation = [tex]\frac{[3-9] + [4-9] + [9-9] + [13-9] + [16-9]}{5}[/tex]
= [tex]\frac{6+5+0+4+7}{5}[/tex]
= 4.5
Hence, we can conclude, the mean absolute deviation of the data set is 4.5.
Learn more about Mean Absolute Deviation here:
https://brainly.com/question/10528201
#SPJ2
