Answer to Question #337623 in Statistics and Probability for shimmy

Question

7. Calculate P40 of the judges’ scores.

M. 8.12 A. 8.42 T. 8.75 H. 9.10

Answer 1

To get the percentile in a given set of data, the data should be sorted from lowest to highest. 

$$8.12, 8. 37, 8.42, 8.75, 9.10, 9.14, 9.17$$ $$n=7$$

$P40=\dfrac{40}{100}(7+1)=3.2$

We rounded down P40 to 3 and what it means is that the P40 is the 3rd rank of the sorted data set.

The 3rd rank of the sorted data set is 8.42

A. 8.42