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What is the third quartile of this data set?14, 18, 20, 21, 25, 32, 40, 44, 48A.44B.36C.42D.40

Question

What is the third quartile of this data set?

14, 18, 20, 21, 25, 32, 40, 44, 48

A. 44
B. 36
C. 42
D. 40

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Solution

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

  1. Arrange the data in ascending order: 14, 18, 20, 21, 25, 32, 40, 44, 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, 40, 44, 48
  4. The median of this data set is the average of the two middle numbers. In this case, the two middle numbers are 40 and 44.
  5. To find the average, add the two numbers together and divide by 2: (40 + 44) / 2 = 42

So, the third quartile (Q3) of this data set is 42. The correct answer is C.42.

This problem has been solved

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