Final answer:
The mean is a measure of central tendency, and this mean paycheck indicates that the average amount of money earned by students in the sample is $169.14 per month.
Step-by-step explanation:
To find the mean paycheck from the stemplot provided, we need to add up all the paychecks represented in the stemplot and divide by the number of students in the sample.
Let's calculate: $67 + $85 + $92 + $123 + $147 + $181 + $181 + $196 + $198 + $213 + $252 + $277 + $287 + $359 = $2,368. There are 14 data points (students).
The mean paycheck is therefore $rac{2368}{14} = $169.14.
By adding up all the paychecks ($2,368) and dividing by the number of students (14), the mean monthly paycheck for the sample of high school students is found to be $169.14. The mean is a typical amount earned and represents the central tendency.