Refer to the sorted data speeds below. Find the 40th percentile, denoted by P40.​ 15.9​ 19.3​ 19.4​ 20​ 20.1​ 21.0​ 21.0​ 21.6​ 21.6​ 23.2​ 24.5​ 24.6​ 24.8​ 25.5​ 25.8​ 25.8​ 25.9​ 26.1​ 26.1​ 26.7​ 27.1​ 27.3​ 27.4​ 27.4​ 28.0​ 28.3​ 28.4​ 28.5​ 29.1​ 29.3​ 29.8​ 29.9​ 30.4​ 30.8​ 30.8​ 31.1​ 31.2​ 31.4​ 31.8​ 32.7​ 33.3​ 33.3​ 33.5​ 33.6​ 34.5​ 36.5​ 36.7​ 37.4​ 38.9​ 45.4​

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Refer to the sorted data speeds below. Find the 40th percentile, denoted by P40.​

15.9​

19.3​

19.4​

20​

20.1​

21.0​

21.0​

21.6​

21.6​

23.2​

24.5​

24.6​

24.8​

25.5​

25.8​

25.8​

25.9​

26.1​

26.1​

26.7​

27.1​

27.3​

27.4​

27.4​

28.0​

28.3​

28.4​

28.5​

29.1​

29.3​

29.8​

29.9​

30.4​

30.8​

30.8​

31.1​

31.2​

31.4​

31.8​

32.7​

33.3​

33.3​

33.5​

33.6​

34.5​

36.5​

36.7​

37.4​

38.9​

45.4​

 

Expert Solution
Step 1: Data given

15.9,19.3,19.4,20,20.1,21.0,21.0,21.6,21.6,23.2,24.5,24.6,24.8,25.5,25.8,25.8,25.9,26.1,26.1,26.7,27.1,27.3,27.4,27.4,28.0,28.3,28.4,28.5,29.1,29.3,29.8,29.9,30.4,30.8,30.8,31.1,31.2,31.4,31.8,32.7,33.3,33.3,33.5,33.6,34.5,36.5,36.7,37.4,38.9,45.4

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In the brackets, how did you know to use the 21 and 20 percentiles?

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