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.docx
School
Walden University *
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Course
8307
Subject
Industrial Engineering
Date
Jan 9, 2024
Type
docx
Pages
4
Uploaded by MinisterRiverOstrich25
Answer & Explanation
Solved by verified expert
Current price of gas per gallon= 3$
Budget=50$ per week
Cost of gas for 50$ budget= 50/3=16.66 gallons
Choice 1: Maximum miles it can travel to stay in budget=17x16.66=283.22 miles, therefore m<283.2 to stay on budget
Choice 2: 24x16.66= 400 miles, m<400 to stay on budget
Choice 3: 24x16.66= 400 miles, m<400 to stay on budget
Step-by-step explanation
Current price of gas per gallon= 3$
Budget=50$ per week
Cost of gas for 50$ budget= 50/3=16.66 gallons
Choice 1: Maximum miles it can travel to stay in budget=17x16.66=283.22 miles, therefore m<283.2 to stay on budget
Choice 2: 24x16.66= 400 miles, m<400 to stay on budget
Choice 3: 24x16.66= 400 miles, m<400 to stay on budget.
Find the mean
Answer & Explanation
Solved by verified expert
mean miles per gallon for highway driving
≈
21.7
(rounded off to 1 decimal
place)
mean miles per gallon for city driving
≈
16.7
(rounded off to 1 decimal place)
The median for miles per gallon (highway) is
: 24
The median for miles per gallon (city) is
: 18
The three (3) chosen vehicle models can travel farther in the highway than in
the city (given the same amount of fuel) since the average (i.e., mean) miles per gallon for highway (i.e., 21.7) driving is greater than the average miles per gallon for city driving (i.e., 16.7).
Step-by-step explanation
Given:
Miles per gallon (city)
Miles per gallon (highway)
Choice 1
13
17
Choice 2
18
24
Choice 3
19
24
Required:
(1) Mean miles per gallon for highway driving and mean miles per gallon for city driving based on the three chosen vehicles
(2) Median for miles per gallon (highway) and miles per gallon (city)
(3) One conclusion about the comparison between miles per gallon in the city and miles per gallon on the highway
Solution:
(1) To solve for the mean miles per gallon for highway driving
, we get the sum of the "miles per gallon (highway)" of the all choices and
divide the answer by 3 (# of choices). [sum of all data points divided by the number of data points]
mean miles per gallon for highway driving
= (17 + 24 + 24) ÷ 3 =
21.666... ≈ 21.7
(rounded off to 1 decimal place)
We use the same formula to solve for the mean miles per gallon for city driving
.
mean miles per gallon for city driving
= (13 + 18 + 19) ÷ 3 = 16.666... ≈ 16.7
(rounded off to 1 decimal place)
(2) To find/determine the median, we write the given values in order and look for the "middle" value.
The median for miles per gallon (highway) is
: 17, 24
, 24 (the median will be 24)
---> Using the formula
{(n + 1) ÷ 2}th
, where n
is the number of data points and "
th
" is the nth
number, we get:
{(3 + 1) ÷ 2}th --> {4 ÷ 2}th --> 2nd (based on grammar
rules, it will be "
2nd
", not "
2th
")
The 2nd
number in the data set is 24
.
The median for miles per gallon (city) is
: 13, 18
, 19 (the median will be 18)
---> Using the formula
{(n + 1) ÷ 2}th
, where n
is the number of data points and "
th
" is the nth
number, we get:
{(3 + 1) ÷ 2}th --> {4 ÷ 2}th --> 2nd (based on grammar
rules, it will be "
2nd
", not "
2th
")
The 2nd
number in the data set is 18
.
(3) Conclusion:
The three (3) chosen vehicle models can travel farther in the highway than in the city (given the same amount of fuel) since the average (i.e., mean) miles per gallon for highway (i.e., 21.7) driving
is greater than the average miles per
gallon for city driving (i.e., 16.7).
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