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Consider the following data: 1, 2, 4, 5, 10, 12, 18. The 30th percentile is the closest to __________.

Question

Consider the following data: 1, 2, 4, 5, 10, 12, 18. The 30th percentile is the closest to __________.

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Solution

To calculate the 30th percentile of the data set, follow these steps:

  1. Arrange the data in ascending order: 1, 2, 4, 5, 10, 12, 18.

  2. 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.

  3. 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.

  4. The 30th percentile is the value at this rank, so the 30th percentile of this data set is 2.

This problem has been solved

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