What is the third quartile q3 of the following distribution 4 5 33 10 12 14 34 43 21 22 21 22 44 29 16 18 20 24 26 29?

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1045191

2026-05-11 16:35

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To find the third quartile (Q3) of the given distribution, first, sort the data in ascending order: 4, 5, 10, 12, 14, 16, 18, 20, 21, 21, 22, 22, 24, 26, 29, 29, 33, 34, 43, 44. There are 20 data points, so Q3 is the median of the upper half (the top 10 values): 22, 22, 24, 26, 29, 29, 33, 34, 43, 44. The median of these values is the average of the 5th and 6th values (29 and 29), which gives Q3 = 29.

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