240 likes | 395 Views
This guide, prepared by Dr. Hong Zhang, offers practical estimation techniques essential for freshman engineering clinics. It emphasizes the importance of estimation for cost-saving, time-saving, making informed decisions, and setting the foundation for future actions. Through detailed examples such as estimating chicken consumption and gasoline usage among university students, the methodology illustrates how to collect data, make reasonable assumptions, and perform calculations to derive approximate outcomes. It encourages students to refine their estimates with new information and consider error margins that can range from 10% to 20%.
E N D
Estimation By Dr. Hong Zhang For Freshman Engineering Clinic
Purposes • To save cost • To save time • To give a big picture • To make a tentative decision • To be the first step for future action
Errors • Based on the knowledge in hand • Make reasonable assumptions • 10%~20% or even higher error is normal • New information can and should be used to refine the estimate
Example • Estimate how many chicken are consumed every year in US
Process of Estimate • Collect Data: Population of US is 300 million • Make Assumption: • Average family will consume 2 chicken per month • Average family will have 3 members • Calculation: 2/month * 12 month * (300million/3) =2400 million • Estimate: We consume 2.4 billion chicken per year • Sometime we round up: We consume3 billion chicken per year
Example • Gasoline Consumption To Travel Home • Estimate the amount of gasoline used by Iowa States University students in traveling home and returning during the next Thanksgiving.
Assumptions • Only gasoline for automobiles is considered. Fuel for airplane or train is not considered. • 10% students fly home. The trip to the airport will be by automobile. • Average carpool level is 2 students/car. • Average auto mileage is 20 miles/gallon. • Travel distance will be estimated to be as medium of 50, 150, 250, 350, 450 miles one way. Longer distances will be assumed to fly.
Collected Data • Total 26,500 students in ISU. • Cost of gasoline: $3.59/gal • Distance to airport is 45miles.
Total Cost • Gasoline Consumption: (3,166,750miles)/(20miles/gal) = 158,337.5 gal = 1.6*105gal • Gasoline Cost: 158,337.5 gal * $3.59/gal = $568,431.43 = $570k = $0.57 MM
Exercise 1 • Estimate the amount of gasoline used by Rowan University students in traveling home and returning during the next Thanksgiving.
Assumptions • Only gasoline for automobiles is considered. Fuel for airplane or train is not considered. • No student will fly. Assume all students are local or regional. • Average carpool level is 2 students/car. • Average auto mileage is 25 miles/gallon. • Travel distance will be estimated to be as medium of 50, 150, 250, 350 miles one way.
Collected Data • Total 11,392 students in Rowan University. • Cost of gasoline: $2.47/gal (estimate) • Distance to airport is 26 miles.
Total Cost • Gasoline Consumption: ( miles)/(25miles/gal) = • Gasoline Cost: gal * $2.50/gal = $
Exercise 1 • Estimate the amount of gasoline used by your class in traveling home and returning during the next Thanksgiving.
Assumptions • Only gasoline for automobiles is considered. Fuel for airplane or train is not considered. • No student will fly. Assume all students are local or regional. • Average carpool level is ? students/car. • Average auto mileage is 25 miles/gallon. • Travel distance will be estimated to be as medium of 50, 150, 250, 350 miles one way.
Collected Data • Total 20 students in your class. • Cost of gasoline: $2.47/gal
Total Cost • Gasoline Consumption: ( miles)/(25miles/gal) = • Gasoline Cost: ( gal) * $2.47/gal = $
Exercises • Estimate the number of books you will read in your lifetime. • Estimate the total amount of time, mileage and cost you will spend commuting to and from class for this semester. • Estimate the amount of total time spent by the members of this class studying for the class this week. • Estimate the total steps you walk every day and every year. • Estimate the cost of all the food you will consume this semester.
Optional • Estimate the number of gallons of water in Esby pool. • Estimate the paint to paint the outside wall of Rowan Hall. • Estimate how much water you will drink and how much food you will eat in your lifetime