Exploring Adding and Subtracting Rational Expressions

What does Mean Absolute Deviation measure?

• The average squared distance from the mean

• The average distance each data point is from the mean

• The total distance all data points are from the mean

• The maximum distance a data point is from the mean

How do you calculate the mean of a dataset?

• Find the data point that appears most frequently

• Subtract the smallest data point from the largest

• Multiply all data points and take the square root

• Add all data points and divide by the total number of points

How is the MAD calculated in a dataset?

• By averaging the squared deviations from the mean

• By finding the median of absolute deviations from the mean

• By averaging the absolute deviations from the mean

• By finding the mode of absolute deviations

What effect do outliers have on the Mean Absolute Deviation?

• They reset it to zero

• They decrease it

• They do not affect it

• They increase it

In a dataset where all values are the same, what is the MAD?

• Undefined

• 1

• 0

• The mean of the dataset

What does a MAD of zero indicate about a dataset?

• All values are different

• There is high variability

• All values are the same

• The dataset is empty

What was the MAD for the dataset involving temperatures over five days?

• 5 degrees

• 4 degrees

• 6 degrees

• 3 degrees

What was the mean of the dataset involving the number of wins by a football team over six seasons?

• 7 wins

• 10 wins

• 9.5 wins

• 8 wins

What was the MAD for the dataset involving the prices of trees sold during the holiday season?

• 12 trees

• 15 trees

• 13 trees

• 14 trees

What does a higher MAD tell us about a dataset?

• It has less variability

• It has more variability

• It has more consistency

• It is more predictable