Mean Absolute Deviation

This 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 calculating absolute deviations for each value and then finding the mean absolute deviation. The tutorial also discusses how the mean absolute deviation indicates the spread and variability of the data set. A larger mean absolute deviation suggests more variability, while a smaller one indicates less variability. By the end of the lesson, viewers will understand how to calculate and interpret absolute deviations and mean absolute deviations.

What is the absolute deviation of a data set?

• The average of all observed values

• The distance between each observed value and the mean

• The sum of all observed values

• The difference between the highest and lowest values

How do you calculate the mean of a data set?

• By multiplying all observed values together

• By adding all observed values and dividing by the number of values

• By subtracting the smallest value from the largest value

• By finding the absolute value of each observed value

What is the absolute deviation of the observed value 1 from the mean 5?

• 5

• 4

• 3

• 6

How is the mean absolute deviation calculated?

• By multiplying all absolute deviations together

• By adding all observed values and dividing by the number of values

• By finding the difference between the highest and lowest values

• By adding all absolute deviations and dividing by the number of values

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

• The data set has a low mean value

• The data set has a high mean value

• The data set is spread out with more variability

• The data set is closely packed with less variability