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
(2 points)
a) 20th percentile:
b) 75th percentile:
a) To find the 20th percentile, we first need to arrange the data in order:
3, 5, 6, 11, 15, 20, 24, 28, 37, 42, 44, 50, 56, 65, 67, 73, 78, 82, 89, 91
The 20th percentile is the value that is greater than or equal to 20% of the data. Since there are 20 numbers in the data set, the 20th percentile is the 4th value in the ordered list:
20th percentile = 11
b) To find the 75th percentile, we follow the same steps:
The 75th percentile is the value that is greater than or equal to 75% of the data. Since there are 20 numbers in the data set, the 75th percentile is the 15th value in the ordered list:
75th percentile = 65