Given the following data, find the diameter that represents the 49th percentile.
Diameters of Golf Balls
1.57
1.34
1.65
1.63
1.56
1.61
1.67
1.49
1.56
1.34
1.34
1.69
1.52
1.55
1.34
To find the diameter that represents the 49th percentile, first arrange the diameters in ascending order:
1.34, 1.34, 1.34, 1.34, 1.49, 1.52, 1.55, 1.56, 1.56, 1.57, 1.61, 1.63, 1.65, 1.67, 1.69
Next, calculate the rank of the 49th percentile:
49th percentile = (49/100) * 15 = 7.35
Since the rank is a decimal value, round up to the next whole number which is 8.
Therefore, the diameter that represents the 49th percentile is the 8th value in the sorted list:
1.56
So, the diameter that represents the 49th percentile is 1.56.