Respuesta :
If the value of the mean is 2.55. Then the mean absolute deviation will be 0.66.
What is the mean absolute deviation (MAD)?
It is the average distance between each data point and the mean.
The MAD is given as
[tex]\rm MAD = \dfrac{\Sigma _{i=1}^n |x_i - \mu|}{n}[/tex]
Then the data is given below.
2.50, 3.75, 1.25, 2.25, 3.00.
The value of the mean will be
Mean(μ) = (2.50 + 3.75 + 1.25 + 2.25 + 3.00)/5
Mean(μ) = 12.75/5
Mean(μ) = 2.55
Then the MAD will be
MAD = [(2.50 - 2.55) + (3.75 - 2.55) +...+ ( 3.00 - 2.55)] / 5
MAD = [(0.05) + (1.2) + (1.3) + (0.3) + (0.45)] / 5
MAD = 3.3 / 5
MAD = 0.66
Then the correct option is B.
More about the mean absolute deviation link is given below.
https://brainly.com/question/10258446
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