Exploring Mean Absolute Deviation Concepts

What does Mean Absolute Deviation measure in a dataset?

• The frequency of each data point

• The total distance between the highest and lowest data points

• The average distance between each data point and the mean

• The average distance between each data point and the median

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

• Subtract the mean from each data point

• Find the median of the data

• Calculate the mean of the data values

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

Which operation is primarily used in the second step of calculating MAD?

• Multiplication

• Addition

• Division

• Subtraction

How do you ensure all differences are positive when calculating MAD?

• Multiply by -1 if negative

• Only subtract smaller numbers from larger numbers

• Take the absolute value of differences

• Ignore negative results

What was the mean price of the five most expensive dishes?

• $28.00

• $30.00

• $35.00

• $25.00

What is the Mean Absolute Deviation of the most expensive dishes?

• $3.60

• $1.76

• $4.00

• $2.50

What was the mean price of the five least expensive dishes?

• $9.00

• $7.50

• $8.80

• $10.00

What is the Mean Absolute Deviation of the least expensive dishes?

• $2.50

• $2.00

• $1.76

• $3.60

Which group of dishes shows more variation in their prices?

• Both show equal variation

• Least expensive dishes

• Cannot be determined

• Most expensive dishes

What does a higher Mean Absolute Deviation indicate about a dataset?

• Data points are identical

• More variance among data points

• Less variance among data points

• None of the above