What is the mean absolute deviation of 4.8 5.9 6.2 10.8 1.2 6.4

3 answers

To find the mean absolute deviation, we first need to find the mean of the numbers given:

Mean = (4.8 + 5.9 + 6.2 + 10.8 + 1.2 + 6.4) / 6
Mean = 35.3 / 6
Mean = 5.8833333

Next, we find the absolute difference between each number and the mean:

|4.8 - 5.8833333| = 1.0833333
|5.9 - 5.8833333| = 0.0166667
|6.2 - 5.8833333| = 0.3166667
|10.8 - 5.8833333| = 4.9166667
|1.2 - 5.8833333| = 4.6833333
|6.4 - 5.8833333| = 0.5166667

Now, we find the mean of these absolute differences:

Mean absolute deviation = (1.0833333 + 0.0166667 + 0.3166667 + 4.9166667 + 4.6833333 + 0.5166667) / 6
Mean absolute deviation = 2.2072222

Therefore, the mean absolute deviation of the numbers 4.8, 5.9, 6.2, 10.8, 1.2, 6.4 is 2.2072222.
round to the nearest tenth
When rounded to the nearest tenth, the mean absolute deviation of the numbers 4.8, 5.9, 6.2, 10.8, 1.2, and 6.4 is 2.2.