Question

in a recent race, speedy sam placed 2nd out of 25 racers. his percentile compared to the rest of the racers is the
percentile of x = \\(\frac{number of data values less than x}{total number of data values}\\) · 100

Explanation:

Step1: Find number of racers slower than Sam

There are 25 - 2=23 racers slower than Sam.

Step2: Calculate percentile

Using the formula $\text{Percentile of }x=\frac{\text{number of data values less than }x}{\text{total number of data values}}\times100$, we substitute the values: $\frac{23}{25}\times100$.
$\frac{23}{25}\times100 = 23\times4=92$.

Answer:

92