TEMPLATE

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:

1. Detailing cars, trucks, boats, etc. (you drive to the customer and bring all supplies except for water hook-up)
2. Snow removal (since Portsmouth experiences snowfall from October through April, you have a truck and a plow)
3. 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).

Based on the data found in the module, answer the following questions.

Note: You will not receive any credit for answers without explanations and work shown.

1. 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.

	JANUARY	FEBRUARY	MARCH	APRIL	MAY	JUNE	JULY	AUGUST	SEPTEMBER	OCTOBER	NOVEMBER	DECEMBER
Vehicle Detailing (Juan) Probability	8	8	16	30	60	64	64	60	30	30	6	66 6
Snow Removal (Jake) Probability	60	60	40	20	0	0	0	0	0	30	36	54
Landscaping (Zorah) Probability	0	0	16	24	30	48	48	48	50	44	30	0

These three jobs depend on the change of season or climate.

Vehicle Detailing (Juan)

1. 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? Show all work!

Vehicle Detailing (Juan) Mean, median, mode

Snow Removal (Jake) Mean, median, mode

Landscaping (Zorah) Mean, median, mode

Which of the values, mean median or mode do you think provides the BEST measure of center for EACH set of data? Defend your answer.

Vehicle Detailing (Juan)

Snow Removal (Jake)

Landscaping (Zorah)

1. 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.

Vehicle Detailing (Juan) sample standard deviation

Snow Removal (Jake) sample standard deviation

Landscaping (Zorah) sample standard deviation

Which side job has the greatest spread of data? Which side job has the least spread of data? Explain how you know.

1. Create a five-number summary and box plot for each of these three side jobs. How are they similar? How are they different?

Vehicle Detailing (Juan) five number summary & Box plot

60 64 64 60 30

Snow Removal (Jake) five number summary & Box plot

60 60 40 20 0

Landscaping (Zorah) five number summary & Box plot

48 48 50 44 30

How are they similar? How are they different?

1. Use the information in questions 1 - 4 to decide which side job you will select. Explain how these statistics impacted your decision.

For this question, you need to use statistics that you previously calculated to explain why you selected a particular job. This is not a place for you to put down what you personally would like to do.

For example, if you chose car detailing, explain why using statistics. Go back to what you have calculated in #1 - #4 and bring those details into why you picked that job.

Note: This project will be submitted to Turnitin to check for plagiarism. Please ensure this work represents your original calculations, methods, and analysis.