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Concept Note:
The quartiles are points that divide a ranked data into four equal parts. Each set of data has three quartiles.
1. First Quartile (Q1) is a number such that at most one-fourth or 25% of the data are smaller in value than Q1, and at most three-fourth or 75% are larger. Q₁ is sometimes called the lower quartile.
2. Second Quartile (Q2) is a number such that one-half or 50% of the data are below and above in value than Q2. Q2 is obviously the median. Hence, the former name is seldom used.
3. Third Quartile (Q3) is a number such that at most three-fourth or 75% of the data are smaller in value than Q3, and at most one-fourth or 25% are larger. Q3 is sometimes called the upper quartile.
Quartiles can be presented by the diagram below when the given data is arranged in increasing order.
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Question:
1. Consider the set of data A = {12, 16, 23, 25, 33, 35, 41}. Find tje first, second, and third quartile
2. Consider the set of data A = {12, 8, 18, 5, 3, 19, 9}. Find the first, second, and third quartile.
