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What is the third quartile of this data set?14, 18, 20, 21, 25, 32, 42, 46, 48A.42B.32C.43D.44

Question

What is the third quartile of this data set?

Data set: 14, 18, 20, 21, 25, 32, 42, 46, 48

Options:

  • A. 42
  • B. 32
  • C. 43
  • D. 44
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Solution

To find the third quartile (Q3) of a data set, follow these steps:

  1. Arrange the data in increasing order: 14, 18, 20, 21, 25, 32, 42, 46, 48
  2. Divide the data into four equal parts. The third quartile (Q3) is the median of the second half of the data set.
  3. The second half of the data set is: 32, 42, 46, 48
  4. The median of this data set is the average of the two middle numbers: (42 + 46) / 2 = 44

So, the third quartile (Q3) of this data set is 44 (Option D).

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