Consider the following data: 1, 2, 4, 5, 10, 12, 18. The 30th percentile is the closest to __________.
Question
Solution
To calculate the 30th percentile of the data set, follow these steps:
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Arrange the data in ascending order: 1, 2, 4, 5, 10, 12, 18.
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Calculate the rank (R) of the percentile value using the formula: R = P(N+1)/100, where P is the desired percentile (in this case, 30), and N is the number of data points (in this case, 7). So, R = 30(8)/100 = 2.4.
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Since the rank is not a whole number, round it to the nearest whole number. In this case, we round 2.4 down to 2.
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The 30th percentile is the value at this rank, so the 30th percentile of this data set is 2.
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