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
Solution
To find the third quartile (Q3) of a data set, follow these steps:
- Arrange the data in increasing order: 14, 18, 20, 21, 25, 32, 42, 46, 48
- Divide the data into four equal parts. The third quartile (Q3) is the median of the second half of the data set.
- The second half of the data set is: 32, 42, 46, 48
- 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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