Wait times in hospitals are closely monitored. One Tuesday evening, there were 12 patients with the following wait times, shown in minutes. What is the percentile ranking for 85 minutes? The wait times are ranked from shortest to longest wait time.
Hospital wait times (in minutes)
73,50,67,12,17,58,40,26,34,25,85,73
A) 0
B) 100
C) 95
D) 7
To determine the percentile ranking for 85 minutes, we first need to find the position of 85 in the ordered list of wait times.
Ordered list of wait times: 12, 17, 25, 26, 34, 40, 50, 58, 67, 73, 73, 85
85 is in the 12th position in the ordered list.
Next, we use the formula for percentile ranking:
Percentile rank = (number of values below the target value + 0.5 * number of values equal to the target value) / total number of values * 100
Number of values below 85 = 11 (12 values - one value equal to 85)
Number of values equal to 85 = 1
Percentile rank for 85 minutes = (11 + 0.5 * 1) / 12 * 100 = 11.5 / 12 * 100 = 95.83
Since we are looking for the closest option, the closest one is 95, so the correct answer is:
C) 95