Answer:
B. 2 points
(Approximately)
Step-by-step explanation:
The mean absolute deviation (MAD) is defined as
[tex]MAD=\frac{\Sigma |x_{i}-\mu| }{N}[/tex]
Where [tex]\mu[/tex] is the means and [tex]N[/tex] is the total number of elements.
First, we need to find the mean:
[tex]\mu = \frac{\Sigma x_{i} }{N} =\frac{18+12+15+10+13+20+16+12+18+6}{10}= \frac{140}{10}\\ \mu=14[/tex]
Then, we calculate the difference between each value and the mean, from that difference, we are gonna use the absolute value.
18 - 14 = |4|
12 - 14 = |-2|
15 - 14 = |-1|
10 - 14 = |-4|
13 - 14 = |-1|
20 - 14 = |6|
16 - 14 = |2|
12 - 14 = |-2|
18 - 14 = |4|
6 - 14 = |-8|
Now, we sum all terms and divide them by the total number of elements, which are 14.
[tex]MAD=\frac{4+2+1+4+1+6+2+2+4+8}{14}= \frac{34}{14}\\ MAD \approx 2.4[/tex]
Therefore, the absolute deviation is about 2 points. The right answer is B.
