Find the value of the 20th and 75th percentiles of the data. 24,56,11,89,37,65,42,3,78,91,15,28,50,6,73,20,44,5,67,82
To find the 20th percentile, first calculate the index:
20% of 20 (total number of data points) = 0.2 * 20 = 4
Since there are 20 data points, the 20th percentile will be the 4th data point when the data is sorted in ascending order:
3, 5, 6, 11, 15, 20, 24, 28, 37, 42, 44, 50, 56, 65, 67, 73, 78, 82, 89, 91
Thus, the 20th percentile is 11.
To find the 75th percentile, calculate the index:
75% of 20 (total number of data points) = 0.75 * 20 = 15
Since there are 20 data points, the 75th percentile will be the 15th data point when the data is sorted in ascending order:
3, 5, 6, 11, 15, 20, 24, 28, 37, 42, 44, 50, 56, 65, 67, 73, 78, 82, 89, 91
Thus, the 75th percentile is 73.