Question

What is the mean absolute deviation of the data set?

Answer 1

Answer:

B. 2

Step-by-step explanation:

Answer 2

First calculate the mean:

$\text{mean}=\frac{12+10+10+8+6+7+7+12}{8}=9$

Next calculate the distance between each data point and the mean, and add them together. We get:

$|12-9|+|10-9|+ |10-9|+|8-9|+|6-9|+2*|7-9|+|12-9|\\ =16$

Take this number and divide with the number of observations:

$\text{MAD}=\frac{16}{8}=2$