In: Statistics and Probability
1. Summarize the cost by calculating the mean and standard deviation for each region
2. Calculate the Standard deviation for all five regions
3. Use a bar graph for this data set and show the five averages on the graph
4. List all the averages and standard deviations of five regions for comparison
Cost due to traffic congestion, per registered vehicle.
City Cost
Traffic
Northeastern cities Baltimore, MD
530
Boston, MA
880
Hartford, CT
250
New York, NY
1,090
Philadelphia, PA
420
Pittsburgh, PA
400
Washington, DC
1,420
Midwestern cities Chicago, IL
570
Cincinnati, OH
200
Cleveland, OH
140
Columbus, OH
230
Detroit, MI
530
Indianapolis, IN
130
Kansas City, MO
160
Louisville, KY
190
Milwaukee, WI
370
Minneapolis-St. Paul,
MN 270
Oklahoma City, OK
190
St. Louis, MO
540
Southern cities Atlanta, GA
640
Charlotte, NC
390
Ft. Lauderdale, FL
290
Jacksonville, FL
400
Memphis, TN
140
Miami, FL
680
Nashville, TN
340
New Orleans, LA
340
Norfolk, VA
390
Orlando, FL
420
Tampa, FL
310
Southwestern cities Albuquerque, NM
210
Austin, TX
410
Corpus Christi, TX
50
Dallas, TX
750
Denver, CO
420
El Paso, TX
120
Fort Worth, TX
420
Houston, TX
750
Phoenix, AZ
630
Salt Lake City, UT
90
San Antonio, TX
290
Western cities Honolulu, HI
470
Los Angeles, CA
980
Portland, OR
500
Sacramento, CA
280
San Bernardino-River,
CA 1,320
San Diego, CA
480
San Francisco-Oakland,
CA 930
San Jose, CA
960
Seattle-Everett, WA
880
Result:
1. Summarize the cost by calculating the mean and standard deviation for each region
Descriptive statistics |
|||||
Northeastern |
Midwestern |
Southern |
Southwestern |
Western |
|
n |
7 |
12 |
11 |
11 |
9 |
mean |
712.86 |
293.33 |
394.55 |
376.36 |
755.56 |
sample standard deviation |
428.47 |
165.66 |
152.08 |
252.56 |
336.46 |
2. Calculate the Standard deviation for all five regions
Descriptive statistics |
|
All regions |
|
n |
50 |
mean |
475.80 |
sample standard deviation |
314.83 |
3. Use a bar graph for this data set and show the five averages on the graph
4. List all the averages and standard deviations of five regions for comparison
Descriptive statistics |
|||||
Northeastern |
Midwestern |
Southern |
Southwestern |
Western |
|
n |
7 |
12 |
11 |
11 |
9 |
mean |
712.86 |
293.33 |
394.55 |
376.36 |
755.56 |
sample standard deviation |
428.47 |
165.66 |
152.08 |
252.56 |
336.46 |