Understanding Averages and Their Robustness

What are the three common measures of average discussed in the video?

• Median, Range, and Mode

• Mode, Range, and Mean

• Mean, Range, and Median

• Mean, Mode, and Median

How is the mean of a data set calculated?

• By subtracting the smallest value from the largest

• By finding the middle value

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

• By identifying the most frequent value

What is the mode of a data set?

• The average of all data points

• The difference between the highest and lowest values

• The most frequently occurring data point

• The middle value when data is ordered

In the example data set 1, 2, 3, 4, 5, what is the median?

• 2

• 5

• 3

• 4

Why is the median considered a robust measure of center?

• It is not affected by outliers

• It changes with every new data point

• It is calculated using all data points

• It is always the largest value

What happens to the mean when there is an outlier in the data set?

• It becomes the same as the median

• It is significantly affected

• It becomes more accurate

• It remains unchanged

What is the standard deviation sensitive to?

• The mode

• Outliers

• The median

• The range

What does MAD stand for in statistics?

• Mean Absolute Deviation

• Median Absolute Deviation

• Mode Absolute Deviation

• Maximum Absolute Deviation

Which measure of spread is resistant to outliers?

• Variance

• Standard Deviation

• Range

• Median Absolute Deviation

What is the final ranking of measures based on their robustness?

• Median has most Aura, Mean has least

• Mean has most Aura, Mode has least

• Mode has most Aura, Median has least

• All measures have equal Aura