Exploring Mean Absolute Deviation Concepts

What does MAD stand for in statistical terms?

• Mean Allocated Distance

• Maximum Allowed Difference

• Median Allocated Division

• Mean Absolute Deviation

What is the primary use of Mean Absolute Deviation?

• To calculate the sum of all data points

• To measure the spread of data points around the mean

• To find the median of data

• To determine the maximum data value

How is the mean of a dataset calculated?

• Divide the sum of all data points by the number of points

• Subtract the smallest data point from the largest

• Multiply all data points and take the square root

• Add the smallest and largest data points and divide by two

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

• Divide the dataset into equal parts

• Calculate the mean of the dataset

• Find the median of the dataset

• Subtract the mean from each data point

In the context of MAD, what does 'absolute' refer to?

• The absolute certainty of data accuracy

• The absolute lowest value in the data

• The absolute differences from the mean, ensuring all numbers are positive

• The absolute highest value in the data

What is the final step in calculating the Mean Absolute Deviation?

• Calculate the mean of the absolute differences

• Find the median of the absolute differences

• Multiply all the absolute differences

• Sum up all the absolute differences

What was the mean speed of the seven drivers recorded by the police officer?

• 65 mph

• 70 mph

• 75 mph

• 60 mph

What does the Mean Absolute Deviation represent in the context of the police officer's speed data?

• The average speed of all drivers

• The average distance each speed is from the mean speed

• The highest speed recorded

• The total number of drivers recorded

What was the mean of Diana's commute times?

• 28 minutes

• 30 minutes

• 32 minutes

• 35 minutes

What does the Mean Absolute Deviation of 10.8 represent in Diana's commute data?

• The total time taken for all commutes

• The average time taken for the commute

• The longest time taken for a commute

• The average distance each time is from the mean