Find the values at the 20th and 70th percentiles for the data set 181 20 10 5 18 19 20 5 15 17 12 15 13 7 3 182 10 The at the 20th percentile is Type whole number
To find the value at the 20th percentile, we need to first find the rank order of the 20th percentile.
There are 18 numbers in the data set, so the 20th percentile corresponds to the 0.2 x 18 = 3.6th observation. Since we cannot have a decimal observation, we need to round up to the 4th observation.
When we put the numbers in order, we have: 3 5 5 7 10 10 12 13 15 15 17 18 19 20 20 181 182
So the value at the 20th percentile is the 4th observation, which is 7.
To find the value at the 70th percentile, we follow the same procedure.
The 70th percentile corresponds to the 0.7 x 18 = 12.6th observation. Since we cannot have a decimal observation, we need to round up to the 13th observation.
So the value at the 70th percentile is the 13th observation, which is 19.