Answer:
To find the quartiles of a set of numbers, we first need to arrange them in ascending order:
2, 4, 7, 8, 9, 11, 13, 15, 16
The first quartile (Q1) is the median of the lower half of the numbers. In this case, the lower half consists of the numbers:
2, 4, 7, 8
To find the median of this group of numbers, we take the average of the middle two numbers:
(4 + 7) / 2 = 5.5
Therefore, Q1 is 5.5.
The second quartile (Q2) is simply the median of the entire set of numbers, which is:
(9 + 11) / 2 = 10
Therefore, Q2 is 10.
The third quartile (Q3) is the median of the upper half of the numbers. In this case, the upper half consists of the numbers:
13, 15, 16
(15 + 16) / 2 = 15.5
Therefore, Q3 is 15.5.
Hence, the quartiles of the given set of numbers are Q1 = 5.5, Q2 = 10, and Q3 = 15.5.
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Answer:
To find the quartiles of a set of numbers, we first need to arrange them in ascending order:
2, 4, 7, 8, 9, 11, 13, 15, 16
The first quartile (Q1) is the median of the lower half of the numbers. In this case, the lower half consists of the numbers:
2, 4, 7, 8
To find the median of this group of numbers, we take the average of the middle two numbers:
(4 + 7) / 2 = 5.5
Therefore, Q1 is 5.5.
The second quartile (Q2) is simply the median of the entire set of numbers, which is:
(9 + 11) / 2 = 10
Therefore, Q2 is 10.
The third quartile (Q3) is the median of the upper half of the numbers. In this case, the upper half consists of the numbers:
13, 15, 16
To find the median of this group of numbers, we take the average of the middle two numbers:
(15 + 16) / 2 = 15.5
Therefore, Q3 is 15.5.
Hence, the quartiles of the given set of numbers are Q1 = 5.5, Q2 = 10, and Q3 = 15.5.