The graph above shows the frequency distribution

The graph above shows the frequency distribution of 50 integer values varying from 1 to 6. Quantity A : The average (arithmetic mean) of the 50 values Quantity B : The median of the 50 values Quantity A is greater., Quantity B is greater., The two quantities are equal., The relationship cannot be determined from the information given.

2 Explanations

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Jacob Elder

What I've learned is that in distributions skewed left as above, generally mean < median. In distributions skewed right, generally mean > median. This is because the skewed data points bring down (or up on a skewed right distribution) the mean, while the median remains in the middle. Is this an acceptable rule of thumb to follow and apply on the test, or could this lead to trouble?

Jan 28, 2016 • Comment

Cydney Seigerman, Magoosh Tutor

Hi Jacob :)

Yes, this is a good general rule of thumb to keep in mind when considering the mean and median of sets of numbers.

Happy studying :)

Feb 8, 2016 • Reply

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Chris Lele, Magoosh Tutor