Q T1.8. - The Practice of Statistics for AP

Question

The mean salary of all female workers is $\backslash (35,000$ The mean salary of all male workers is $\backslash )41,000$ What must be true about the mean salary of all workers?

 (a) It must be $\backslash (38,000$

 (b) It must be larger than the median salary.

 (c) It could be any number between $\backslash )35,000$ and $\backslash (41,000$

 (d) It must be larger than $\backslash )38,000$

 (e) It cannot be larger than $\$40,000$

Step-by-Step Solution

Answer

The correct option is  (c) It could be any number between $\$35,000$ and $\$41,000$

Step 1: Given Information

All-female workers earn an average of $\$35, 000$ a year.

The average male worker earns $\$41,000$ per year.

Step 2: Concept

The mean of a data set is determined by adding all of the numbers in the set and dividing by the number of values in the set. The median is the value in the middle of a data set when it is arranged from smallest to largest. The mode is the number that appears the most frequently in a data set.

Step 3: Explanation

Because the mean of these two means will be in between these two means, the mean salary of all workers might be any figure between the means of females and males, which are $\$35, 000$ and $\$41,000$, respectively.