Questions tagged [interquartile]

The interquartile range or midspread is a central interval containing 50% of the data, eliminating the 25% smallest and 25% largest observations.

Wikipedia has an article with further references.

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Why can't we sum two interquartile ranges?

The interquartile range is defined as the difference between the third and first quartiles: $IQR = Q_3 - Q_1$ When studying intensive and extensive properties, only values of extensive properties can be summed, but the differences of values of…
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Box plot for Likert scale 1 to 5: How is maximum equal to upper quartile?

I need to know how to interpret each of the graphics.