Respuesta :
Answer:
The mean average deviation of the given data set: 4, 5, 5, 6, 6, 7, 8, 8, 8, 9
is 2
Step-by-step explanation:
Given the data set:
4, 5, 5, 6, 6, 7, 8, 8, 8, 9.
To find the mean average deviation,
First of all, find the mean, M.
M = Sum of elements of data set ÷ Number of elements of data set.
M = (4 + 5 + 5 + 6 + 6 + 7 + 8 + 8 + 8 + 9)/10
= 66/ 10
= 6.6
Mean = 6.6
Next, find the deviation of each element by subtracting each of them from the mean, and taking the absolute value of each (only the positive value).
Deviation: 2.6, 1.6, 1.6 , 0.6, 0.6, 1.6, 2.6, 2.6, 2.6, 3.6.
Next, find the mean average deviation by summing the deviation from each element, and dividing the result by the number of elements.
(2.6 + 1.6 + 1.6 + 0.6 + 0.6 + 1.6 + 2.6 + 2.6 + 2.6 + 3.6)/10
= 20/10
= 2
Therefore, the mean average deviation is 2
