Mean vs. Median
What are the differences between mean and median?
Mean and median are two mathematical terms used to describe the average of a set of numbers. The mean is the arithmetic average of the numbers, which is calculated by adding up all the numbers and then dividing by the number of items in the set. The median is the middle number in a set of numbers that has been arranged in numerical order.
For example, the mean of the numbers {3, 5, 7, 9} would be 6, which is calculated by adding 3 + 5 + 7 + 9 and dividing by 4 (the number of items in the set). The median of the same set of numbers would be 5, because it is the middle number in the set when the numbers are placed in numerical order (3, 5, 7, 9).
Sentences: The mean of the test scores was 85, indicating that the class performed exceptionally well. The median salary for the position was $50,000, indicating that the pay is competitive.
Why do people commonly confuse mean and median?
People commonly confuse mean and median because they both involve taking the average of a set of numbers, but they are calculated in different ways. The mean is the average of all of the numbers in the set (sum of all numbers divided by the number of items in the set), while the median is the middle number in the set (after the numbers are arranged in order from smallest to largest). This can be confusing because the mean and median often produce very different results depending on the set of numbers. Additionally, the mean and median can both be used to describe the “average” of a set of numbers, but they are not the same.
What are some ways to make sure you don't confuse mean and median?
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Use the correct terms when referring to the two measures. Make sure to use “mean” when referring to the average of all the values in a set and “median” when referring to the middle value in a set.
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Carefully review your sentences to make sure the terms “mean” and “median” are used correctly.
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If you’re uncertain about the difference between the two measures, look up their definitions and review examples to help clarify the concept.
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Ask a friend or colleague to review your sentences to ensure you’re using the correct terms.
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If you’re writing about data, use a graph or chart to clearly illustrate the different measures.
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