29 19 18 18 50 19 29 14 15 21 2420 23 14 22 20 38 23 29 22 S

29, 19, 18, 18, 50, 19, 29, 14, 15, 21, 24,20, 23, 14, 22, 20, 38, 23, 29, 22

Sorting the data from lowest to highest:

14
14
15
18
18
19
19
20
20
21
22
22
23
23
24
29
29
29
38
50

A. 10th percentile:

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

10% of 20 is 2.

Thus, at least 2 data points are lower than you; that is, you are the 3rd lowest entry.

Thus,

10th percentile = 15 [ANSWER]

**************************************

B. 75th percentile:

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

75% of 20 is 15.

Thus, at least 15 data points are lower than you; that is, you are the 16th lowest entry.

Thus,

75th percentile = 29 [ANSWER]