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Question 8(1 point) Following is a sample of the number of words spoken in each inauguration address for U.S. presidents 1,125 2,978 1,172 1,507 4,776 3,801 2,015 2,463 4,388 135 3,967 1,560 1,437 3,217 1,340 2,308 1,681 2,546 2,158 2,170 5,433 1,729 698 What is the 32nd percentile? Write only a number as your answer Your Answer:
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=> Answer: the 32nd percentile is 1560.

Given data 1125,2978,1172,1507,4776,3801,2015,2463,4388,135,3967,1560,1437,3217,1340,2308,1681,2546,2158,2170,5433,1729,698

The pth percentile is a value such that at least p percent of the observations is less than or equal to this value and at least (100- p) percent of the observations is greater than or equal to this value. The first step is to sort the values. The sorted values are 135, 698, 1125, 1172, 1340, 1437, 1507, 1560, 1681, 1729,2015, 2158, 2170, 2308, 2463, 2546, 2978, 3217,3801, 3967,4388, 4776, 5433 Since there are 23 values, then n 23. Now, calculate the index i- n23 7.36. 100 100 Since index i is not an intege, round up: i 8.

=> The percentile is at the position i = 8 : it is 1560.

=> Answer: the 32nd percentile is 1560.

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