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Measuring Center
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Learn different ways to measure the "center," or typical values, of a set of data: mean, median, and mode.
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Mean
SL 4.3
The mean of a numerical dataset is the average of all the values:
â
xË=number of valuessum of valuesâđ«
âThe mean is also sometimes denoted âÎŒ.
Median
SL 4.3
The median of a dataset is the middle value when the values are sorted. If a dataset has an even number of values, the median is the average of the middle two.
Mathematically, the median is the
â
2n+1âthđ«
âvalue. Notice that if ânâ is even then â2n+1ââ is halfway between two consecutive integers, indicating we need to average their values.
Mode
SL 4.3
The mode of a dataset is the most common value in a dataset.
If all the values have the same frequency (â[1,2,3]â), there is no mode. If multiple - but not all - values share the highest frequency, then we have multiple modes (â[1,2,2,3,3]â).
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