The third quartile (Q3) of the data set 20, 30, 40, 50, 60, 70, 80, 90 is ________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to find the third quartile (Q3) of a given data set. The data set provided has an even number of elements, so Q3 is the median of the second half of the data.
Key Concept Explanation
The third quartile (Q3) is the median of the second half of the data set. For an even number of data points, the second half contains n/2 data points, and Q3 is the median of these values.
Step-by-step Solution
1. Sort the data set: 20, 30, 40, 50, 60, 70, 80, 90
2. Identify the second half of the data:
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