In a recent survey, 18 college freshmen were asked how many text messages they had send or received on the day of the survey.Results are shown below.Determine the 85th percentile value. 45, 256, 23, 110, 168, 122, 135, 56, 18, 0, 44, 68, 120, 115, 456, 256, 174, 88
A)250
B)270.5
C)174
D)256
E)210.5

Question

Quizplus · Accepted Answer

To find the 85th percentile value, first, arrange the data in ascending order: 0, 18, 23, 44, 45, 56, 68, 88, 110, 115, 120, 122, 135, 168, 174, 256, 256, 456. With 18 data points, the position of the 85th percentile is calculated as $P = \frac{85}{100} \times 18 = 15.3$. Since the position is not a whole number, round up to the nearest whole number, which is 16. The 16th value in the ordered list is 256, making it the 85th percentile value.

In a Recent Survey, 18 College Freshmen Were Asked How