Question

Find the values at the 25th and 60th percentiles for the data set. The value at the 25th percentile is_____.

Answer 1

25th percentile: 5

60th percentile: 12

Step-by-step explanation:

To find the percentile, we need to organize the data from lowest to greatest, so

1 3 4 4 5 6 6 7 8 8 9 12 14 15 17 17 19 20 20 20

Therefore, there are 20 values in the data set.

The position of the 25th percentile can be calculated as:

`(25(n))/(100)=(25(20))/(100)=5`

Then, the position of the 25th percentile is 5th. In this case, the number in this position is 5 so the 25th percentile is 5

In the same way, we can calculate the position for the 60th percentile as follows:

`\frac{60(n)_{}}{100}=(60(20))/(100)=12`

Then, the position of the 60th percentile is the 12th. In this case, this value is 12, so the 60th percentile is 12.

So, the answers are:

25th percentile: 5

60th percentile: 12