Question

Find the values at the 25th and 60th percentiles for the data set.
17 19 17 3 6 15 9 3 16 17 13 10 11 4 6 1 20 1 14 8

Answer 1

To find the values at the 25th and 60th percentiles, we first need to sort the data set in ascending order:

1, 1, 3, 3, 4, 6, 6, 8, 9, 10, 11, 13, 14, 15, 16, 17, 17, 17, 19, 20

Next, we calculate the position of the values at the 25th and 60th percentiles:

25th percentile: (25/100) * 20 = 5th position
60th percentile: (60/100) * 20 = 12th position

Now, we can find the values at these positions in the sorted data set:

25th percentile: The value at the 5th position is 4

60th percentile: The value at the 12th position is 13

Therefore, the values at the 25th and 60th percentiles for the given data set are 4 and 13, respectively.