Mean and Mean Absolute Deviation

The video tutorial explains the concept of mean absolute deviation, which measures the average distance of data points from the mean. It provides a detailed calculation method using a table and an example without a table. The tutorial also includes a visual explanation using a number line to enhance understanding.

What does the mean absolute deviation measure?

• The average distance of values from the mean

• The median of the data set

• The mode of the data set

• The sum of all data points

What is the first step in calculating the mean absolute deviation using a table?

• Find the median of the data set

• Calculate the sum of all data points

• Determine the arithmetic mean

• Identify the mode of the data set

How do you find the arithmetic mean of a set of numbers?

• Multiply all numbers together

• Add all numbers and divide by the count of numbers

• Subtract the smallest number from the largest

• Find the most frequently occurring number

What is the next step after finding the arithmetic mean in the table method?

• Divide each data point by the mean

• Subtract the mean from each data point

• Multiply each data point by the mean

• Add the mean to each data point

How is the mean absolute deviation calculated using the formula method?

• By subtracting the absolute differences from the mean

• By multiplying the absolute differences by the mean

• By summing the absolute differences and dividing by the number of data points

• By finding the median of the absolute differences

What is the arithmetic mean of the numbers 5, 9, 12, 16, and 18?

• 16

• 14

• 12

• 10

What does a mean absolute deviation of 4 indicate in the visual example?

• The median is 4

• The mean is 4

• The average distance of values from the mean is 4 units

• All values are exactly 4 units from the mean

In the visual example, which number is directly on the mean?

• 12

• 9

• 5

• 16

How far is the number 18 from the mean in the visual example?

• 8 units

• 6 units

• 4 units

• 2 units

What is the sum of the absolute deviations in the visual example?

• 10

• 20

• 25

• 15