43 44 29 48 27 39 30 26 50 45 41 20 42 46 40 21 If necessary

43, 44, 29, 48, 27, 39, 30, 26, 50, 45, 41, 20, 42, 46, 40, 21

(If necessary, consult a list of formulas.)

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Solution

Sorting the data from lowest to highest:

20
21
26
27
29
30
39
40
41
42
43
44
45
46
48
50

A. 30th percentile:

If you are on the 30th percentile, the at least 10% of the data is lower than you.

30% of 16 is 4.8.

Thus, at least 4.8 (or, at leat 5) data points are lower than you; that is, you are the 6th lowest entry.

Thus,

30th percentile = 30 [ANSWER]

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B. 75th percentile:

If you are on the 75th percentile, the at least 75% of the data is lower than you.

75% of 16 is 12.

Thus, at least 12 data points are lower than you; that is, you are the 13th lowest entry.

Thus,

75th percentile = 45 [ANSWER]