Maria is applying for a summer job. Six employees who do various jobs at the company earn $8.00, $8.50, $9.00, $9.50, $10.00 and $23.50 per hour. In the interview, the boss tells Maria that the median of the hourly wages is $9.25. Is the boss's statement misleading? Why or why not?
A. Yes; $9.25 is the mode.
B. Yes; it seems to ignore the $23.50 amount.
C. Yes; $9.25 is the mean.
D. No; $9.25 is the correct median
Plz help me
The median (50% percentile) is midway between $9 and $9.50, which is $9.25
To determine if the boss's statement is misleading or not, we need to understand what the median is and how it is calculated. The median is the middle value of a set of data when arranged in ascending or descending order.
In this case, we have six hourly wages, which we can arrange in ascending order: $8.00, $8.50, $9.00, $9.50, $10.00, and $23.50.
The median should be the value in the middle, which in this case should be the fourth value. The fourth value is $9.50, not $9.25.
Therefore, the boss's statement is indeed misleading. The actual median of the wages is $9.50, not $9.25.