Suppose that a customer is purchasing a car. He conducts an experiment in which he puts 10 gallons of gas in the car and drives it until it runs out of gas. He conducts this experiment 15 times on each car and records the number of miles driven.   Full data set    Car 1 216 243 205 242 239 297 295 172 270 251 165 310 265 316 278   Car 2 231 220 223 205 245 257 242 292 248 252 287 255 250 293 251   .....   Describe each data​ set, that is determine the​ shape, center, and spread.   Sample mean for Car 1 x=__________mi​ / 10 gal ​(Type an integer or decimal rounded to one decimal place as​ needed.)   Sample mean for Car 2 x=___________mi​ / 10 gal ​(Type an integer or decimal rounded to one decimal place as​ needed.)   Median for Car 1 M=____________mi​ / 10 gal ​(Type an integer or decimal rounded to one decimal place as​ needed.)   Median for Car 2 M=___________mi​ / 10 gal ​(Type an integer or decimal rounded to one decimal place as​ needed.) Range for Car 1 R=___________mi​ / 10 gal ​(Type an integer or decimal rounded to one decimal place as​ needed.)   Range for Car 2 R=___________mi​ / 10 gal ​(Type an integer or decimal rounded to one decimal place as​ needed.) Sample standard deviation for Car 1 s=__________mi​ / 10 gal ​(Type an integer or decimal rounded to one decimal place as​ needed.)   Sample standard deviation for Car 2 s=_________mi​ / 10 gal ​(Type an integer or decimal rounded to one decimal place as​ needed.)     Which car would the customer buy and​ why?   A. Car1​, because it has a lower mean gas mileage.   B.Car 2​, because it has a lower sample standard​ deviation, hence more predictable gas mileage.   C. Car1​, because it has a larger range of gas mileage.   D. There is very little difference between the two cars.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Suppose that a customer is purchasing a car. He conducts an experiment in which he puts 10 gallons of gas in the car and drives it until it runs out of gas. He conducts this experiment 15 times on each car and records the number of miles driven.
 
Full data set
  
Car 1
216
243
205
242
239
297
295
172
270
251
165
310
265
316
278
 
Car 2
231
220
223
205
245
257
242
292
248
252
287
255
250
293
251
 
.....
 
Describe each data​ set, that is determine the​ shape, center, and spread.
 
Sample mean for Car 1
x=__________mi​ / 10 gal
​(Type an integer or decimal rounded to one decimal place as​ needed.)
 
Sample mean for Car 2
x=___________mi​ / 10 gal
​(Type an integer or decimal rounded to one decimal place as​ needed.)
 
Median for Car 1
M=____________mi​ / 10 gal
​(Type an integer or decimal rounded to one decimal place as​ needed.)
 
Median for Car 2
M=___________mi​ / 10 gal
​(Type an integer or decimal rounded to one decimal place as​ needed.)
Range for Car 1
R=___________mi​ / 10 gal
​(Type an integer or decimal rounded to one decimal place as​ needed.)
 
Range for Car 2
R=___________mi​ / 10 gal
​(Type an integer or decimal rounded to one decimal place as​ needed.)
Sample standard deviation for Car 1
s=__________mi​ / 10 gal
​(Type an integer or decimal rounded to one decimal place as​ needed.)
 
Sample standard deviation for Car 2
s=_________mi​ / 10 gal
​(Type an integer or decimal rounded to one decimal place as​ needed.)
 
 
Which car would the customer buy and​ why?
 
A. Car1​, because it has a lower mean gas mileage.
 
B.Car 2​, because it has a lower sample standard​ deviation, hence more predictable gas mileage.
 
C. Car1​, because it has a larger range of gas mileage.
 
D. There is very little difference between the two cars.
 
 
 
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