Chapter 10.1, Problem 26PFA

To determine

To evaluate whether the given statement is true or false.

Answer to Problem 26PFA

The given statement “The percentile rank of the team with highest score is at the 100^th percentile.” is false

Explanation of Solution

Given information:

“The percentile rank of the team with highest score is at the 100^th percentile.”

Formula used: Percentile is,

  $percentile=\frac{L}{P}\times 100$

Where, P = Total number of observations

L = Number of observations below mark

Proof:

Let take an example,

If “x” is the highest in the range, and there are total 200,000 observations.

Substituting the values in percentile formula,

  $percentile=\frac{199999}{20000}\times 100$

On solving,

  $percentile=99.99$

Evaluating the statement and the example. It implies in any circumstances, 100 percentile is not possible. Hence, the given statement is not true.