Exploring Rational Expressions in 15-5 Notes

What does Mean Absolute Deviation measure in a dataset?

• The average of all data points

• The spread of data points from the mean

• The sum of all data points

• The highest data point value

How do you calculate the mean of a dataset?

• None of the above

• Subtract smallest value from largest and divide by two

• Add all data values and divide by the number of values

• Multiply all data values and divide by the number of values

What is the first step in finding the Mean Absolute Deviation?

• None of the above

• Finding the median of the dataset

• Calculating the mean of the dataset

• Summing the absolute deviations

In the context of deviations, what does a negative value indicate?

• No deviation from the mean

• Data value is above the mean

• Data value is below the mean

• Error in calculation

How do you handle negative deviations when calculating Mean Absolute Deviation?

• None of the above

• Convert them to positive using absolute value

• Ignore them

• Double them

What was the mean height of the second graders in the example?

• 50 inches

• 43 inches

• 61 inches

• 57 inches

How is the Mean Absolute Deviation useful in comparing datasets?

• It indicates the average distance from the mean

• It shows the highest data point

• It determines the median value

• It calculates the total sum of all data points

What was the Mean Absolute Deviation for the heights of the seventh graders?

• 2 inches

• 3 inches

• 1 inch

• 4 inches

Why were the Mean Absolute Deviations the same for both second and seventh graders?

• Both groups had the same mean height

• Data points were equally spread from the mean in both groups

• There were more data points in one group

• The calculation was performed incorrectly

What does a deviation of zero indicate about a data point?

• It is an outlier

• It is the highest value in the dataset

• It is the lowest value in the dataset

• It is equal to the mean