Question

Given the following dataset, what is the 71st percentile of the data? Round to the nearest whole number. 272 232 • 219 155 33
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Answer #1

Solution:

We have to first sort the data in ascending order as:

141,155,155,163,169,188,192,219,220,232,264,272,276,290,332

The 71st percentile of the data is:

P_{71}=(0.71 \times n)^{th }item

=(0.71 \times 15)^{th }item

=(10.65)^{th }item\approx 11^{th }item

=264

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