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Question
Find the first quartile and third quartile for the given observations.
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22
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Solution
Given data are arranged in ascending order 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22.
Here the number of observations is n = 11
Q1 = Size of `(("N" + 1)/4)^"th"` value
= Size of `((11 + 1)/4)^"th"` value
= Size of 3rd value
Q1 = 6
Q3 = Size of `((3("N" + 1))/4)^"th"` value
= Size of `((3 xx 12)/4)^"th"` value
= Size of 9th value
Q3 = 18
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