Distributions & Data
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, What is the mean? The arithmetic average; add all values and divide by the number of values.
What is the mean formula? x̄ = Σx / n
What is the median? The middle value after the data are sorted.
How do you find the median with an even number of Average the two middle values.
observations?
What is the mode? The most frequently occurring value.
Which measure of center is most affected by outliers? Mean.
Which measure of center is resistant to outliers? Median.
For a symmetric distribution, how do mean and median Mean ≈ Median.
compare?
For a right-skewed distribution, how do mean and median Mean > Median.
compare?
For a left-skewed distribution, how do mean and median Mean < Median.
compare?
What pulls the mean upward in a right-skewed High values or outliers.
distribution?
What pulls the mean downward in a left-skewed Low values or outliers.
distribution?