Name the measure of variability that best represents this set of data:
3, 4, 5, 4, 5

The correct answer is: MAD

Step 1 of 1:
Given the dataset, 3, 4, 5, 4, 5
Note that, all the values are clustered, so the best measure of center should be the mean.
Now, consider MAD and the following algorithm as follows:

1. To find the mean absolute deviation of the data, start by finding the mean of the data set.
2. Find the sum of the data values, and divide the sum by the number of data values.
3. Find the absolute value of the difference between each data value and the mean: |data value – mean|.
4. Find the sum of the absolute values of the differences.
5. Divide the sum of the absolute values of the differences by the number of data values.

So, use the MAD when the mean is the appropriate measure of center.
Final Answer:
The right choice is-- d. MAD