Question

The mean salary at a local industrial plant is $26,500 with a standard deviation of $5000. The median salary is $27,200 and the 57th percentile is $30,400. Based on the given information, determine if the following statements are true or false.

a. Approximately 7% of the salaries are between $26,500 and $30,400.
b. The percentile rank of $25,400 is 50.

Answer 1

Answer:

a. False.

b. False.

Step-by-step explanation:

Statement a:

The median salary is $27,200 and the 57th percentile is $30,400.

Thus, 57-50 = 7% of the salaries are between $27,200 and $30,400, that is, not between $26,500 and $30,400, and thus, statement a is false.

b. The percentile rank of $25,400 is 50.

The median salary is $27,200, and thus, the percentile rank of $27,200 is 50, and the percentile rank of $25,400 is less than 50, and this statement is false.