Question

What is the mean absolute deviation for 9, 7, 6, 8, 7, and 5? A: 1 B: 2 C: 6 D: 7

Answer 1

The mean absolute deviation for the data set is 1.

Answer 2

Answer:

1

Step-by-step explanation:

Here are the steps

1 Find the mean of the data set

2 Subtract the mean from each value ( ignore the minus signs ), that is the distance of each value from the mean

3. Find the mean of 2

mean = $\frac{9+7+6+8+7+5}{6}$ = $\frac{42}{6}$ = 7

value   distance

  9       | 9 - 7 | = 2

   7      | 7 - 7  | = 0

   6      | 6 - 7 | = 1

   8      | 8 - 7 | = 1

   7      | 7 - 7 | = 0

   5      | 5 - 7 | = 2

Find the mean of these values

mean absolute deviation = $\frac{2+0+1+1+0+2}{6}$ = 1