Lupe is applying for a summer job. Six employees doing the same work earn $8.00, $8.50, $9.00, $9.50, $10.00, and $21.00 per hour. In the interview, the boss tells Lupe that the average hourly wage is $11.00. Is the boss's statement misleading? Why or why not?
A- No; it best represents the data.
B- Yes; $11.00 doesn't match any of the amounts.
C- Yes; it gives too much influence to the $21.00.
D- No; it's the mean, and shows a wage that is close to what most employees earn.
To determine if the boss's statement is misleading or not, we need to calculate the average hourly wage of the six employees and compare it to the boss's statement of $11.00.
To find the average, we need to add up all the wages and divide by the number of employees:
$8.00 + $8.50 + $9.00 + $9.50 + $10.00 + $21.00 = $66.00
Since there are 6 employees, the average hourly wage would be $66.00 / 6 = $11.00.
Therefore, the boss's statement of the average hourly wage being $11.00 is not misleading. The correct answer is option A- No; it best represents the data.