What is the value of the 90th percentile for the data set?
7 12 3 14 17 20 5 3 17 4 13 2 15 9 15 18 16 9 1 6
To find the value of the 90th percentile for the given data set, we can follow these steps:
1. Arrange the data set in ascending order:
1, 2, 3, 3, 4, 5, 6, 7, 9, 9, 12, 13, 14, 15, 15, 16, 17, 17, 18, 20
2. Determine the index corresponding to the 90th percentile. Since the 90th percentile represents the value below which 90% of the data falls, we need to find the index position that represents the 90th percentile. We can calculate this using the following formula:
Index = (90 / 100) * n
where n is the total number of data points.
In this case, n = 20 (since there are 20 data points in the set).
Index = (90 / 100) * 20 = 18
3. Identify the value at the determined index position. The value at the 18th index position in the sorted data set is 17.
Therefore, the value of the 90th percentile for the given data set is 17.