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Solved: Which Car Would You Buy? Suppose that you are in
Chapter 9, Problem 25AYU(choose chapter or problem)
Suppose that you are in the market to purchase a car. With gas prices on the rise, you have narrowed it down to two choices and will let gas mileage be the deciding factor. You decide to conduct a little experiment in which you put 10 gallons of gas in the car and drive it on a closed track until it runs out gas. You conduct this experiment 15 times on each car and record the number of miles driven.
CAR 1 | ||||
228 |
223 |
178 |
220 |
220 |
233 |
233 |
271 |
219 |
223 |
217 |
214 |
189 |
236 |
248 |
CAR 2 | ||||
277 |
164 |
326 |
215 |
259 |
217 |
321 |
263 |
160 |
257 |
239 |
230 |
183 |
217 |
230 |
Describe each data set. That is, determine the shape, center, and spread. Which car would you buy and why?
Questions & Answers
QUESTION:
Suppose that you are in the market to purchase a car. With gas prices on the rise, you have narrowed it down to two choices and will let gas mileage be the deciding factor. You decide to conduct a little experiment in which you put 10 gallons of gas in the car and drive it on a closed track until it runs out gas. You conduct this experiment 15 times on each car and record the number of miles driven.
CAR 1 | ||||
228 |
223 |
178 |
220 |
220 |
233 |
233 |
271 |
219 |
223 |
217 |
214 |
189 |
236 |
248 |
CAR 2 | ||||
277 |
164 |
326 |
215 |
259 |
217 |
321 |
263 |
160 |
257 |
239 |
230 |
183 |
217 |
230 |
Describe each data set. That is, determine the shape, center, and spread. Which car would you buy and why?
ANSWER:
Step 1 of 4
Given
|
CAR 1 |
||||
|
228 |
223 |
178 |
220 |
220 |
|
233 |
233 |
271 |
219 |
223 |
|
217 |
214 |
189 |
236 |
248 |
First we need to find the mean.
\(\bar{x}=\frac{\sum_{i=1}^{n} x_{i}}{n}\)
\(\bar{x}=\frac{3352}{15} \)
\(\bar{x}=223.46\)
Hence the mean \(\overline{x}=223.46\mathrm{\ mi}\)