Answer: Mean Absolute Deviation is 6.4
Explanation:
Mean absolute deviation = 6.4
Given : Data 45, 38, 52, 58, and 42 hours.
To find : What is the mean absolute deviation for the number of hours students practiced the violin? Round to the nearest tenth.
Solution : We have given that
45, 38, 52, 58, 42
Mean Deviation = Σ|x − μ|/N.
Where, x = given values like 45,38...etc
μ = mean .
N = total number of values .
We need to find mean = \frac{45+38+52+58+42}{5}
Mean ( μ ) = 47.
|x − μ| = |45 − 47| = 2
|38− 47| = 9
|52− 47| = 5
|58− 47| = 11
|42− 47| = 5
Then Mean Deviation = \frac{2+9+5+11+5}{5}
Mean absolute deviation = 6.4