High School

Given the following data, find the diameter that represents the 58th percentile.

Diameters of golf balls:
1.58, 1.61, 1.34, 1.55, 1.69, 1.64, 1.49, 1.32, 1.47, 1.56, 1.63, 1.64, 1.45, 1.61, 1.59

Answer :

To determine the diameter that represents the 58th percentile, we must first determine the total number of diameters, which is 15 in this case.

Following that, we must determine the ranking that represents the 58th percentile.58 percent of 15 is 8.7, which we can round up to 9. That implies that the 58th percentile is the ninth diameter in the dataset once they've been sorted in ascending order in terms of their value.We'll need to sort the diameters in ascending order to figure out the ninth diameter.1.321.341.451.471.551.561.581.591.611.631.641.641.691.691.69The ninth diameter in the ordered set of diameters is 0.611; thus, this is the diameter that represents the 58th percentile.

Therefore, the diameter that represents the 58th percentile is 0.611.

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