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Frequency Distribution Using the data on 2005 Large Cars, construct a frequency

ID: 3021382 • Letter: F

Question

Frequency Distribution   

Using the data on 2005 Large Cars, construct a frequency table or frequency distribution for the miles per gallon (highway) and annual fuel cost. The frequency table must contain the following items: classes, frequencies, class boundaries, midpoints, and the cumulative frequency.

Classes

Class Boundaries

Frequency

Midpoints

Cumulative frequency

1. Construct a frequency distribution for the variable, Miles per Gallon (Highway) using a

     c lass width of 3 and starting with the lowest value in the data set.

     For example, if the lowest value in the data set is 9 and the class width required is 3, then

     The classes should consist of 9–11, 12–14, etc.  

2. Construct a frequency distribution for the variable, Annual Fuel Cost using 300 as the

     Class width. Start with the category 1200-1499, 1500-1799, etc.

3. When buying a brand new car, what factors or variables do you take into consideration before making the purchase?

2005 Large Cars

We have revised the 1985-2007 MPG estimates to make them comparable to the new 2008 and later MPG estimates!

Model

MPG
(city)

MPG
(hwy)

Annual
Fuel
Cost*


Greenhouse Gas
Emissions
(tons/yr)*

EPA
Air
Pollution
Score
From 0 to 10 (best)

Audi A8 L
8 cyl, 4.2 L, Automatic (S6), Premium

16

22

$1801

10.20

Audi A8 L
12 cyl, 6 L, Automatic (S6), Premium

13

19

$2161

12.20

BMW 745i
8 cyl, 4.4 L, Automatic (S6), Premium

16

24

$1704

9.60

BMW 745li
8 cyl, 4.4 L, Automatic (S6), Premium

16

24

$1704

9.60

BMW 760i
12 cyl, 6 L, Automatic (S6), Premium

13

21

$2025

11.40

BMW 760li
12 cyl, 6 L, Automatic (S6), Premium

13

21

$2025

11.40

Bentley Arnage LWB
8 cyl, 6.8 L, Automatic 4-spd, Premium

9

13

$2945

16.60

Buick LeSabre
6 cyl, 3.8 L, Automatic 4-spd, Regular

18

27

$1349

8.70

Buick Park Avenue
6 cyl, 3.8 L, Automatic 4-spd, Premium

17

26

$1620

9.20

Buick Park Avenue
6 cyl, 3.8 L, Automatic 4-spd, Regular

18

27

$1349

8.70

Cadillac Armored Deville
8 cyl, 4.6 L, Automatic 4-spd, Regular

13

18

$1891

12.20

Cadillac DeVille
8 cyl, 4.6 L, Automatic 4-spd, Regular

15

22

$1576

10.20

Cadillac DeVille
8 cyl, 4.6 L, Automatic 4-spd, Regular

16

24

$1491

9.60

NA

Cadillac Funeral Coach / Hearse
8 cyl, 4.6 L, Automatic 4-spd, Regular

13

18

$1891

12.20

Cadillac Limousine
8 cyl, 4.6 L, Automatic 4-spd, Regular

13

20

$1772

11.40

Chevrolet Impala
6 cyl, 3.4 L, Automatic 4-spd, Regular

19

29

$1290

8.30

Chevrolet Impala
6 cyl, 3.8 L, Automatic 4-spd, Premium

17

26

$1620

9.20

Chevrolet Impala
6 cyl, 3.8 L, Automatic 4-spd, Regular

18

27

$1349

8.70

Chevrolet Malibu Maxx
6 cyl, 3.5 L, Automatic 4-spd, Regular

20

28

$1233

8.00

Chrysler 300C AWD
6 cyl, 3.5 L, Automatic 5-spd, Regular

15

22

$1576

10.20

Chrysler 300C AWD
8 cyl, 5.7 L, Automatic 5-spd, Regular

15

22

$1576

10.20

Chrysler 300C/SRT-8
6 cyl, 2.7 L, Automatic 4-spd, Regular

18

26

$1349

8.70

Chrysler 300C/SRT-8
6 cyl, 3.5 L, Automatic 4-spd, Regular

17

25

$1418

9.20

Chrysler 300C/SRT-8
8 cyl, 5.7 L, Automatic 5-spd, Regular

15

23

$1576

10.20

Chrysler 300C/SRT-8
8 cyl, 6.1 L, Automatic 5-spd, Premium

13

18

$2161

12.20

Ford Crown Victoria
8 cyl, 4.6 L, Automatic 4-spd, Regular

16

23

$1491

9.60



Ford Five Hundred AWD
6 cyl, 3 L, Automatic (variable gear ratios), Regular

17

23

$1491

9.60

Ford Five Hundred FWD
6 cyl, 3 L, Automatic (variable gear ratios), Regular

18

25

$1418

9.20

Ford Five Hundred FWD
6 cyl, 3 L, Automatic 6-spd, Regular

19

26

$1349

8.70

Ford Taurus
6 cyl, 3 L, Automatic 4-spd, Regular

18

25

$1418

9.20


Ford Taurus
6 cyl, 3 L, Automatic 4-spd, Regular

18

25

$1418

9.20

Ford Taurus
6 cyl, 3 L, Automatic 4-spd, Gasoline or E85

Gasoline

17

25

$1418

9.20

NA

E85

13

19

3272

7.40

Jaguar Super V8
8 cyl, 4.2 L, Automatic 6-spd, Premium

15

22

$1801

10.20

Jaguar Vdp Lwb
8 cyl, 4.2 L, Automatic 6-spd, Premium

16

25

$1704

9.60

Jaguar XJ8 4.2 Litre
8 cyl, 4.2 L, Automatic 6-spd, Premium

16

25

$1704

9.60

Jaguar XJ8l
8 cyl, 4.2 L, Automatic 6-spd, Premium

16

25

$1704

9.60

Jaguar XJR 4.2 Litre
8 cyl, 4.2 L, Automatic 6-spd, Premium

15

22

$1801

10.20

Kia Amanti
6 cyl, 3.5 L, Automatic 5-spd, Regular

15

23

$1576

10.20

Lexus LS 430
8 cyl, 4.3 L, Automatic (S6), Premium

16

23

$1801

10.20


Lincoln Town Car
8 cyl, 4.6 L, Automatic 4-spd, Regular

16

23

$1491

9.60



Maserati Quattroporte
8 cyl, 4.2 L, Automatic 6-spd, Premium

11

14

$2699

15.20

Maybach 57
12 cyl, 5.5 L, Automatic 5-spd, Premium

11

16

$2492

14.10

Maybach 62
12 cyl, 5.5 L, Automatic 5-spd, Premium

11

16

$2492

14.10

Mercedes-Benz S430
8 cyl, 4.3 L, Automatic 7-spd, Premium

16

24

$1704

9.60


Mercedes-Benz S430 4matic
8 cyl, 4.3 L, Automatic 5-spd, Premium

15

21

$1905

10.80


Mercedes-Benz S500
8 cyl, 5 L, Automatic 7-spd, Premium

14

22

$1905

10.80


Mercedes-Benz S500 4matic
8 cyl, 5 L, Automatic 5-spd, Premium

14

20

$2025

11.40


Mercedes-Benz S55 AMG
8 cyl, 5.4 L, Automatic (S5), Premium

13

20

$2161

12.20

Mercedes-Benz S600
12 cyl, 5.5 L, Automatic 5-spd, Premium

11

17

$2492

14.10

Mercury Grand Marquis
8 cyl, 4.6 L, Automatic 4-spd, Regular

16

23

$1491

9.60


Mercury Montego AWD
6 cyl, 3 L, Automatic (variable gear ratios), Regular

17

23

$1491

9.60

Mercury Montego FWD
6 cyl, 3 L, Automatic (variable gear ratios), Regular

18

25

$1418

9.20

Mercury Montego FWD
6 cyl, 3 L, Automatic 6-spd, Regular

19

26

$1349

8.70

Pontiac Bonneville
6 cyl, 3.8 L, Automatic 4-spd, Regular

18

27

$1349

8.70

Pontiac Bonneville
8 cyl, 4.6 L, Automatic 4-spd, Regular

15

22

$1576

10.20

Toyota Avalon
6 cyl, 3.5 L, Automatic (S5), Regular

19

28

$1290

8.30


Volkswagen Phaeton
8 cyl, 4.2 L, Automatic (S6), Premium

14

21

$2025

11.40

Volkswagen Phaeton
12 cyl, 6 L, Automatic (S5), Premium

11

17

$2492

14.10

NA

Classes

Class Boundaries

Frequency

Midpoints

Cumulative frequency

Explanation / Answer

1. The frequency distribution for Miles per Gallon (Highway) is given by

2. The frequency distribution for the Annual Fuel cost is given by

3.When buying a brand new car, the factors or variables which we take into consideration before making the purchase are Miles per Gallon(city), Miles per Gallon (Hogh way),Annual fuel cost and Air pollution score

Classes Class Boundaries Frequency Mid Points Cumulative frequency 1 13-15 2 14 2 2 16-18 7 17 9 3 19-21 9 20 18 4 22-24 20 23 38 5 25-27 18 26 56 6 28-30 3 29 59
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