Answer:
the mean absolute deviation of the data set is 2.
Step-by-step explanation:
To calculate the mean absolute deviation of a data set, we need to follow the following steps:
Step 1: Calculate the mean.
Step 2: Calculate how far away each data point is from the mean (always keeping a possitive distance).
Step 3: Calculate the mean of the deviations.
Step 1: The mean of the data set is:
Mean = (12 + 10 + 10 + 8 + 6+ 7 + 7 + 12)/8 = 72/8 = 9
Step 2:
{12 -9, 10-9, 10-9, 9-8, 9-6, 9-7, 9-7, 12-9} = {3, 1, 1, 1, 3, 2, 2, 3}
Step 3: (3 + 1 + 1 + 1 + 3 + 2 + 2 + 3)/8 = 2
In conclusion, the mean absolute deviation of the data set is 2. Which corresponds to the option B.
