Here is a data set (n=117) that has been sorted.
44.2 44.3
51.3 51.9
45.1 45.7 48.3
52 52.1
55.6 55.6 56.3 56.3
54
57.6 57.7 57.8
56.5
58 58.1
59.2 59.4 59.9 59.9 60.2
61.2 61.3 62.7 63.1
63.2
65.1
66.8
64.8 64.8 64.9 65.1
66.6 66.7 66.7 66.7
67.7 67.8 67.8
69.2 69.2
69.1
69.2 69.2
70.7 71.2 71.2 71.3 71.3
68
68.1
73
73.2
78.4
79.7
72.8
78.2
Find the 47th-Percentile:
P47 =
F
73.5
80
50.4
48.5 49.8 49.9
54.1 54.4
54.1
55.2
56.6
56.7
57 57.5
58.1 58.3
58.4
59.2
60.4 60.7
61.2
61.2
63.3
63.5 63.5
64.4
65.1 65.5 66.4
66.4
66.9
67.1
67.2
67.6
68.3 68.3
68.5 68.9
69.3 69.4
70.4
70.6
71.8
71.8
72.2
72.4
73.6 75.2 76.2
77.4
80
80.8 84.3
85.8
77.6
89.3

When a measure is in the xth percentile of a data-set, it is greater than x% of the measures and lesser than (100 - x)%. Hence, to find the xth percentile of a data-set of n elements, we have to find the element at position (x/100) x n, as is the case in this problem.

In this problem, we have a data-set of 117 elements, hence the position of the 47th percentile in the sorted data-set is:

0.47 x 117 = 55.

The 47th percentile of the data-set is the 55th element of the sorted data-set, which is of 64.8.

More can be learned about percentiles at https://brainly.com/question/24495213

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