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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
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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