The number of shoes owned by eight classmate show below1, 4, 2,1,1,2,4,1 Part a what is the meaning of the show your work part B Use your answer from part 8 to calculate the main absolute deviation for the data

Answer 1

Part A: The phrase "show your work" means to explain or provide the steps taken to arrive at a solution or answer.

Part B: To calculate the mean absolute deviation for the data, we first need to find the mean of the data set.

Mean = (1 + 4 + 2 + 1 + 1 + 2 + 4 + 1) / 8
Mean = 16 / 8
Mean = 2

Now, we calculate the absolute deviations from the mean for each data point:

|1 - 2| = 1
|4 - 2| = 2
|2 - 2| = 0
|1 - 2| = 1
|1 - 2| = 1
|2 - 2| = 0
|4 - 2| = 2
|1 - 2| = 1

Next, we find the mean absolute deviation by averaging these absolute deviations:

Mean Absolute Deviation = (1 + 2 + 0 + 1 + 1 + 0 + 2 + 1) / 8
Mean Absolute Deviation = 8 / 8
Mean Absolute Deviation = 1

Therefore, the mean absolute deviation for the data set is 1.