Mean and Mean Absolute Deviation

The video tutorial explains how to calculate the mean absolute deviation (MAD) for two data sets, A and B. It begins by finding the mean of data set A, followed by calculating its MAD. The same process is repeated for data set B. Finally, the tutorial compares the MADs of both data sets, concluding that they are equal, indicating no difference in variability.

What is the primary goal when comparing the mean absolute deviations of two data sets?

• To find the sum of all data points

• To determine the difference in variability

• To identify the mode of each data set

• To calculate the median of each data set

How do you begin calculating the mean of a data set?

• By finding the mode

• By listing all data points

• By adding all data values and dividing by the number of points

• By identifying the range

What is the mean of data set A if the sum of its values is 84 and there are 12 data points?

• 6

• 7

• 8

• 9

What is the next step after finding the mean when calculating the mean absolute deviation?

• Identify the mode

• Calculate the median

• Find the range

• Determine the difference of each value from the mean

What is the mean absolute deviation of data set A if the sum of deviations is 14 and there are 12 data points?

• 1.3

• 1.2

• 1.1

• 1.0

What is the mean of data set B if the sum of its values is 75 and there are 15 data points?

• 4

• 5

• 7

• 6

How is the mean absolute deviation of data set B calculated?

• By finding the median

• By calculating the range

• By averaging the absolute differences from the mean

• By identifying the mode

What is the mean absolute deviation of data set B if the sum of deviations is 18 and there are 15 data points?

• 1.0

• 1.1

• 1.2

• 1.3

What conclusion can be drawn if two data sets have the same mean absolute deviation?

• They have different means

• They have different medians

• They have the same variability

• They have different variability

If data set A and data set B both have a mean absolute deviation of 1.2, what does this indicate?

• Data set A is more variable

• Data set B is more variable

• Both data sets have equal variability

• Data set A has a higher mean