This assignment involves analyzing data on three potential side jobs to determine the probability of working at least 30 hours a month, calculating measures of center and spread, and creating visual representations to inform the decision on which job to select.

Intro Survey of Math Project #1: Statistics & Probability
You would like to create a side job to supplement your income. It would involve working on the weekends in your hometown of Portsmouth, New Hampshire. You have narrowed your business down to the following 3 options:
Detailing cars, trucks, boats, etc. (you drive to the customer and bring all supplies except for water hook-up)
Snow removal (since Portsmouth experiences snowfall from October through April, you have a truck and a plow)
Landscaping (mowing, trimming trees and bushes, replenishing mulch, etc.)
Through Linked In, you have already connected with people that have experience with these side jobs. They provided you with data on the amount of monthly time spent (in hours) on their business (assume all three businesses have comparable annual revenues and profit margins).
Jan. Feb. March April May June July Aug. Sept.
Juan Vehicle Detailing 8 10 16 16 60 64 64 60 30
Jake Snow Removal 54 50 40 20 0 0 0 0 0
Zorah Landscaping 0 0 20 24 30 48 48 48 48
Oct. Nov. Dec.
Juan Vehicle Detailing 30 6 6
Jake Snow Removal 24 36 50
Zorah Landscaping 44 24 0
Based on the data samples below, answer the following questions in a separate word document
Please provide a paragraph that explains your methods and all of your work for each item listed below.
What is the probability that you would work at least 30 hours a month for each of these three side jobs? Provide a thorough explanation for your work.
Calculate the mean, median, and mode for each of these three side jobs. Which of these values best describes the measure of center for each set of data. Why do you think so? Provide a thorough explanation for your work.
Calculate the sample standard deviation for each of these three side jobs. Provide a thorough explanation for your work. Which side job has the greatest spread of data? Which side job has the least spread of data? Explain how you know.
Create a five-number summary and box plot for each of these three side jobs. How are they similar? How are they different?
Use this information to decide which job you will select. Explain how these statistics impacted your decision.
Note: This project will be submitted to TurnItIn to check for plagiarism. Please ensure this work represents your original calculations, methods, and analysis. Image files (jpeg, gif, etc.) and PDF files will not be accepted.