Chapter 12.4, Problem 4P

a.

To determine

To find: The percentile rank of $85$ .

Answer to Problem 4P

  $60$ .

Explanation of Solution

Given information:

Out the $25$ scores, there are $15$ scores less than or equal to $85$ .

Calculation:

A percentile rank of a data value is the percentage of data values that are less than and equal to that value.

Out the $25$ scores, there are $15$ scores less than or equal to $85$ .

Therefore percentile rank of $85$ would be $\frac{15}{25}=60\%$ .

b.

To determine

To find: If it is possible to have $0$ percentile.

Answer to Problem 4P

No.

Explanation of Solution

Calculation:

A percentile rank of a data value is the percentage of data values that are less than and equal to that value. So even for minimum value in a data set, there is one value (itself) which is less than or equal to that value.

Hence, it is not possible to have percentile rank of $0$ .