Chapter 12.5, Problem 46MR

To determine

To find: The percentile rank of score $\text{7}.\text{5}$ .

Answer to Problem 46MR

The percentile rank $60$ has the score $7.5$ .

Explanation of Solution

Given information:

The $15$ bands in a competition and $9$ bands are score $7.5$ or lower.

Calculation:

The ratio of the number of bands whose scores less than or equal to $7.5$ with total number of bands and compared with percentile

  $\frac{9}{15}=\frac{P}{100}\mathrm{.........}\left(1\right)$

The proportion equation (1)

Multiply by $100$ both sides.

  $\begin{array}{c}\frac{9}{15}=\frac{P}{100}\\ p=60\end{array}$

Therefore, the percentile rank $60$ has the score $7.5$ .