Answer:
2.75
Explanation:
To find the mean absolute deviation for a set of data, we first need to find the mean (average) of the data set. Then, for each data point, we find the absolute value of the difference between the data point and the mean. Finally, we take the mean of those absolute differences.
Step 1: Find the mean
Mean = (6+7+10+12+13+4+8+12)/8 = 72/8 = 9
Step 2: Find the absolute differences
|6-9| = 3
|7-9| = 2
|10-9| = 1
|12-9| = 3
|13-9| = 4
|4-9| = 5
|8-9| = 1
|12-9| = 3
Step 3: Find the mean of the absolute differences
Mean absolute deviation = (3+2+1+3+4+5+1+3)/8
Mean absolute deviation = 22/8
Mean absolute deviation = 2.75
Therefore, the mean absolute deviation for the given data set is 2.75.