Here is a data set (n = 117) that has been sorted:

48.4, 48.9, 50.0, 50.8, 53.2, 55.0, 56.0, 56.7, 58.1, 58.6, 58.9, 59.0, 59.1, 59.5, 60.2, 60.6, 61.1, 61.3, 61.9, 62.5, 62.6, 62.6, 62.9, 63.0, 63.4, 64.3, 64.4, 64.9, 65.1, 65.2, 65.4, 65.5, 65.5, 65.5, 65.8, 65.8, 65.8, 65.9, 66.0, 66.3, 66.6, 66.9, 67.1, 67.2, 67.4, 68.3, 68.5, 68.5, 66.4, 66.4, 66.4, 66.5, 66.5, 67.7, 67.7, 67.8, 68.0, 68.2, 68.2, 68.2, 68.8, 68.9, 69.0, 69.5, 69.7, 70.0, 70.1, 70.2, 70.2, 70.3, 70.4, 70.5, 70.5, 70.9, 70.9, 71.0, 71.1, 71.2, 71.2, 71.5, 71.8, 72.3, 72.6, 73.1, 73.3, 73.3, 73.8, 73.8, 74.1, 74.3, 74.4, 74.5, 74.5, 74.9, 74.9, 75.2, 75.8, 76.0, 76.3, 76.7, 76.7, 76.8, 77.0, 77.3, 77.4, 77.8, 77.9, 78.6, 78.9, 79.0, 79.9, 80.0, 81.4, 82.9, 83.3, 86.6, 89.7

Find the 37th percentile. What is [tex]P_{31}[/tex]?

To find the 37th percentile (P37) from the given data set, we locate the value in the sorted data that corresponds to the position 37% of the way through the data set.

Since the data set is already sorted, we count 37% of the total number of values (117) to determine the position of the percentile.

37% of 117 = 0.37 * 117 = 43.29

The 37th percentile corresponds to the value at the 44th position in the sorted data set.

Looking at the data set, we can see that the 44th value is 62.5. Therefore, the 37th percentile (P37) is 62.5.

In summary, the 37th percentile of the given data set is 62.5. This means that approximately 37% of the values in the data set are less than or equal to 62.5.

Learn more about percentile here:

https://brainly.com/question/1594020

#SPJ11