What is the mean absolute deviation (MAD) of the data set 2, 2, 5?
A: 0
B: 2/3
C: *4/3
D: 1/3
My answer is D
I just did the data variability assignment and the multiple choice answers are
B
B
C
A
D
C
correct
To find the mean absolute deviation (MAD) of a data set, follow these steps:
Step 1: Find the mean (average) of the data set by adding all the values and dividing by the total number of values.
For the data set 2, 2, 5:
Mean = (2 + 2 + 5) / 3 = 9 / 3 = 3
Step 2: Subtract the mean from each value in the data set to find the deviation for each value.
Deviation of 2 = 2 - 3 = -1
Deviation of 2 = 2 - 3 = -1
Deviation of 5 = 5 - 3 = 2
Step 3: Take the absolute value of each deviation (ignore the negative sign) to get the absolute deviations.
Absolute deviation of -1 = |-1| = 1
Absolute deviation of -1 = |-1| = 1
Absolute deviation of 2 = |2| = 2
Step 4: Find the mean of the absolute deviations by adding them up and dividing by the total number of values.
Mean of the absolute deviations = (1 + 1 + 2) / 3 = 4 / 3
Therefore, the correct answer is C: 4/3, not D: 1/3.
To find the mean absolute deviation (MAD) of a data set, you need to follow these steps:
1. Find the mean of the data set by adding up all the numbers and dividing the sum by the total number of values. In this case, the data set is 2, 2, and 5, so the mean would be (2 + 2 + 5) / 3 = 9 / 3 = 3.
2. Calculate the absolute deviation for each value in the data set by subtracting the mean from each value and taking the absolute value of the result. In this case, the absolute deviations for the three values would be: |2 - 3| = 1, |2 - 3| = 1, and |5 - 3| = 2.
3. Find the average of the absolute deviations by adding up all the absolute deviations and dividing the sum by the total number of values. In this case, the average of the absolute deviations would be (1 + 1 + 2) / 3 = 4 / 3.
Therefore, the mean absolute deviation (MAD) of the data set 2, 2, 5 is 4/3 or choice C.