Absolute Deviation and Mean Absolute Deviation

The video tutorial explains the concept of absolute deviation, which is the distance between each observed value and the mean of a data set. It provides a step-by-step guide on how to calculate absolute deviation for each value and introduces the concept of mean absolute deviation, which is the average of all absolute deviations. The tutorial includes examples to illustrate the calculations and discusses how the mean absolute deviation indicates the variability of a data set. A large mean absolute deviation suggests a spread-out data set, while a small one indicates a closely grouped data set.

What is the absolute deviation of a data set?

• The difference between the highest and lowest values

• The distance between each observed value and the mean

• The sum of all observed values

• The average of all observed values

How do you calculate the absolute deviation when the observed value is less than the mean?

• Subtract the mean from the observed value

• Add the observed value to the mean

• Subtract the observed value from the mean

• Multiply the observed value by the mean

If the observed value is 6 and the mean is 5, what is the absolute deviation?

• 5

• 0

• 1

• 6

What is the mean absolute deviation of a data set?

• The product of all absolute deviations

• The difference between the highest and lowest absolute deviations

• The average of all absolute deviations

• The sum of all absolute deviations

What does a large mean absolute deviation indicate about a data set?

• The data set has no variability

• The data set is spread out with more variability

• There is less variability in the data

• The data set is closely packed