Question

What is the mean absolute deviation of the data set? {12, 10, 10, 8, 6, 7, 7, 12}

Answer 1

Answer:

The MAD of  {12, 10, 10, 8, 6, 7, 7, 12} is 2.

Step-by-step explanation:

Step 1 : Add all the values Up:

$12+10+10+8+6+7+7+12=72$

Step 2 : Divide them by the number of items or numbers:

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

Step 3: Find the absolute deviations:

$12-9=3\\10-9=1\\10-9=1\\9-8=1\\9-6=3\\9-7=2\\9-7=2\\12-9=3$

Step 4: Add all the absolute deviations:

$3+1+1+1+3+2+2+3=16$

Step 5: Find the mean:

$\frac{3+1+1+1+3+2+2+3}{8}=2$