Ask Question
2 August, 20:59

Teachers in a medium-sized suburban school district have an average salary of $47,500 per year, with a standard deviation of $4,600. After negotiating with the school district, teachers recieve a 5% raise and a one-time $500 bonus. What are the new mean and standard deviation of the teacher's salaries during the year in which they recieve bonus? A. $50,125; $4,960B. $49,875; $4,830C. $49,875; $5,330D. $50,375; $4,830E. $50,375; $5,330

+3
Answers (1)
  1. 2 August, 22:41
    0
    Answer: $49,875; $4,830C.

    Step-by-step explanation:

    The average salary of Teachers in a medium-sized suburban school district is $47,500 per year.

    The standard deviation is $4,600

    After negotiating with the school district, teachers recieve a 5% raise and a one-time $500 bonus. The bonus of $500 will not alter the mean and standard deviation because equal amount is added for each teacher.

    5% increase in each teacher's salary would differ. Therefore, it will affect the mean and standard deviation by 5%. Therefore, the new mean would be

    47500 + (5/100 * 47500) = $49875

    The new standard deviation would be

    4600 + (5/100 * 4600) = $4830
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Teachers in a medium-sized suburban school district have an average salary of $47,500 per year, with a standard deviation of $4,600. After ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers