Question

A group of students was asked, "How many hours did you watch television last week?" Here are their responses: 7, 5, 16, 20, 17, 9, 18, 15. Find the Mean Absolute Deviation (M.A.D.) for these students.

Answer 1

4.78125

Explanation:

Step 1

Find the mean

Mean = Sum of Terms/Number of Terms

Mean = 7+5+ 16+20+ 17+ 9+ 18+ 15/8

= 107/8

= 13.375

Step 2

Find the Mean Absolute Deviation

Mean Absolute Deviation formula = |x - Mean|/n

Mean Absolute Deviation =[ |7 - 13.375| +| 5 -13.375|+ |16 - 13.375| + |20 - 13.375| +| 17 - 13.375| + |9 - 13.375 | +| 18 -13.375|+|15 - 13.375|] /8

Mean Absolute Deviation = 4.78125

Therefore, the Mean Absolute Deviation (M.A.D.) for these students = 4.78125