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.

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.

MATLAB: An Introduction with Applications

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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.

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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