The third quartile (Q3) of the following data set, when arranged in ascending order, is _________. Data: 40, 15, 20, 25, 30, 55, 10, 45, 50, 35, 60, 65.
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 must be sorted in ascending order, and Q3 is the median of the second half of the data.
Key Concept Explanation
Q3 (Upper Quartile) is the value at the 3/4 position in the sorted data, with 75% of the data below it.
Step-by-step Solution
1. Sort the data in ascending order: 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65.
2. Identify the second half of the data: 40, 45, 50, 55, 60, 65.
3...
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