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Determine the median and quartiles of the following set of data: 1.8, 1.6, 1.1, 2.4, 0.6, 1.3, 2.9, 1.5, 0.4, 1.9, and 2.9.
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The median will be the middle number found in the set of data.
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And then the quartiles will be the middle of the bottom half and the middle of the upper half.
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So to do this, we need to arrange our numbers from least to greatest.
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Our smallest is 0.4 then 0.6, 1.1, 1.3, 1.5, 1.6, 1.8, 1.9, 2.4, 2.9, and once again 2.9.
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So in order to find the median and the quartiles, we need to count how many numbers there are: one, two, three, four, five, six, seven, eight, nine, 10, 11.
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Therefore, the median, the middle number, of these 11 will be the sixth one.
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So our median is equal to 1.6.
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So there are five numbers on our lower half and five numbers on the upper half.
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And the middle of five numbers would be the third number.
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So the third number would be 1.1.
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That would be the lower quartile.
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And the upper quartile will be the third number in that set, so seven, eight, nine.
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Nine will be the third number.
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So 2.4 is the upper quartile.
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So, overall, the median is 1.6 and the quartiles are 1.1 and 2.4.