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
To find the percentile ranking for 85 minutes, we first need to calculate the total number of patients in the data set, which is 12.
Next, we need to count how many patients have a wait time shorter than 85 minutes.
There are 7 patients with a wait time shorter than 85 minutes (12, 17, 26, 25, 40, 50, 58).
To find the percentile ranking for 85 minutes, we use the formula:
Percentile ranking = (number of patients with shorter wait times + 0.5) / total number of patients) * 100
Percentile ranking = (7 + 0.5) / 12 * 100
Percentile ranking = 7.5 / 12 * 100
Percentile ranking = 0.625 * 100
Percentile ranking = 62.5%
Therefore, the percentile ranking for 85 minutes is 62.5%.