The first quartile (Q1) of the following data set, when arranged in ascending order, is __________. Data: 40, 35, 38, 32, 36, 39, 37, 33, 34, 31.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to find the first quartile (Q1) of a given data set. The data set provided has 10 numbers, so Q1 will be the median of the first half of the sorted list.
Key Concept Explanation
Q1 is the median of the first half of the data set. If the number of data points in the second half is odd, Q1 is the middle number. If even, it is the average of the two middle numbers.
Step-by-step Solution
1. Sort the data set in ascending order: 31, 32, 33, 34, 35, 36, 37, 38, 39, 40.
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