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# Professor Puzzler's Statistics Calculator

Provide a data set below, and find out all you need to know!
Quartiles Detailed analysisAverageMedianModeRangeOutliersStandard deviationHarmonic meanGeometric meanIQRVariance

# Quartiles

Please enter data above to calculate quartiles.

## Explanation

Quartiles are the 25th, 50th, and 75th percentile marks for your data set. These values are used in calculating outliers for a data set.

The second quartile is also referred to as the median, and is the central point in the data set when the data is listed in sorted order (if the data set has an even number of points, there are two middle points, which are averaged to find the median).

The data set is then divided into a "lower half" and "upper half", and the medians of these two sets are calculated. These are the first (lower) quartile, and the third (upper) quartile.

If the original data set contained an odd number of points, then the median is included in the halves. Note that this is not the only way to calculate the first and third quartiles, and using alternate methods may result in slightly different results.

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