Here is a sorted data set:

31.6, 40.4, 41.2, 41.3, 42.1, 42.5, 43.7, 44.3, 44.8, 45.4, 45.7, 46.2, 47, 47, 47, 47.8, 48.2, 48.6, 48.8, 49.6, 49.7, 49.7, 49.7, 49.9, 50, 50.3, 50.4, 50.8, 51.4, 51.5, 51.7, 51.7, 51.8, 52.1, 52.2, 52.4, 52.5, 52.8, 52.8, 52.9, 53, 53, 53, 53.1, 53.1, 53.3, 53.5, 53.5, 53.5, 53.8, 54.2, 54.2, 54.7, 54.8, 55.1, 55.5, 55.7, 56.6, 57, 57, 57.3, 57.3, 57.4, 57.8, 58, 58, 58.1, 58.1, 58.2, 58.3, 58.4, 58.6, 58.6, 58.7, 58.8, 59, 59.1, 59.1, 59.3, 59.3, 59.6, 59.7, 59.7, 59.8, 59.9, 60.1, 60.4, 60.5, 60.6, 60.9, 61, 61.1, 61.5, 61.5, 61.8, 62.2, 62.3, 62.7, 62.8, 63, 63, 64.2, 64.3, 64.3, 64.8, 64.9, 65, 65.9, 65.9, 67.8, 68.6, 68.9, 70.3, 70.8, 73.9, 74.2, 79.5

Find the 44th percentile ($P_{44}$).

The 44th-Percentile of the given data set is 52.1. The 44th-Percentile is the value below which 44% of the data falls. To calculate it, you need to find the value that is greater than 44% of the data.

To find the 44th percentile, you need to determine the value in your dataset below which 44% of the data falls. Since your dataset is already sorted, you can use the formula:

Percentile Value = (P / 100) * (N + 1)

Where:

- P is the desired percentile (44 in this case)

- N is the total number of data points in your dataset

In your case, N = 117.

Percentile Value = (44 / 100) * (117 + 1)

Percentile Value = 0.44 * 118

Percentile Value = 52.1

Since your data is sorted, you can now approximate the 44th percentile value to be around 52.1.

Please note that this is an approximation, and depending on the method used for calculating percentiles, the exact value might vary slightly.

To know more about Percentiles visit:

https://brainly.com/question/34294377

#SPJ11