Question

Given the following data, find the diameter that represents the 53rd percentile.

Diameters of Golf Balls:
1.64, 1.59, 1.30, 1.51, 1.41
1.64, 1.59, 1.47, 1.61, 1.68
1.56, 1.32, 1.64, 1.41, 1.49

a. 1.56
b. 1.59
c. 1.61
d. 1.64

Answer 1

To find the diameter that represents the 53rd percentile, arrange the data in ascending order, calculate the rank of the 53rd percentile, and find the corresponding value.

Step-by-step explanation:

To find the diameter that represents the 53rd percentile, we need to first arrange the given data in ascending order. The sorted data is as follows: 1.30, 1.32, 1.41, 1.41, 1.47, 1.49, 1.51, 1.56, 1.59, 1.59, 1.61, 1.64, 1.64, 1.68.

The 53rd percentile means that 53% of the data is below the specific value. To find the specific value, we need to calculate the rank of the 53rd percentile. Since (53/100) * 14 = 7.42, we round up to 8.

Therefore, the 8th value in the sorted data, which is 1.56, represents the 53rd percentile.