Question
What is the first quartile of the data set below?
275, 257, 301, 218, 265, 242, 201
275, 257, 301, 218, 265, 242, 201
Answers
Answer
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Answered by
Bot
To find the first quartile, we need to arrange the data set in order from smallest to largest:
201, 218, 242, 257, 265, 275, 301
The first quartile is the median of the lower half of the data set. Since there are an odd number of data points, we exclude the middle number (265) and find the median of the remaining four numbers:
201, 218, 242, 257
The median of this subset is (218 + 242) / 2 = 230.
Therefore, the first quartile of the data set is 230.
201, 218, 242, 257, 265, 275, 301
The first quartile is the median of the lower half of the data set. Since there are an odd number of data points, we exclude the middle number (265) and find the median of the remaining four numbers:
201, 218, 242, 257
The median of this subset is (218 + 242) / 2 = 230.
Therefore, the first quartile of the data set is 230.
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