For the data set 10, 20, 30, 40, 50, what is the mean deviation?

For the data set 10, 20, 30, 40, 50, what is the mean deviation?

Step 1: Find the mean (average) of the data set. Add all the numbers together: 10 + 20 + 30 + 40 + 50 = 150.
Step 2: Divide the total by the number of values in the data set. There are 5 numbers, so: 150 / 5 = 30. This is the mean.
Step 3: Calculate the absolute deviations from the mean for each number. This means finding the difference between each number and the mean, then taking the absolute value:
For 10: |10 - 30| = 20
For 20: |20 - 30| = 10
For 30: |30 - 30| = 0
For 40: |40 - 30| = 10
For 50: |50 - 30| = 20.
Step 4: Add all the absolute deviations together: 20 + 10 + 0 + 10 + 20 = 60.
Step 5: Divide the total absolute deviation by the number of values to find the mean deviation: 60 / 5 = 12.

Mean – The average of a data set, calculated by summing all values and dividing by the number of values.
Mean Deviation – The average of the absolute differences between each data point and the mean.
Absolute Value – The non-negative value of a number without regard to its sign.