Problem 6 ( 18 points) a) Construct the frequency distribution first and show it (5 Points). You can use 5 categories with a class with equal to 10. Create the histogram from the previous frequency distribution. Make sure you label the axis appropriately and include a title. (4 points) b) To determine the most appropriate representative measure (mean or median) look at the shape of the histogram. (2 points). c) Provide a measure of variability (2 points). d) Provide the two values that contain 95% of the travel times. (4). Is this empirical rule approximately correct? (1 points

Metropolitan_Area	Commute Time
Abilene, TX	37.57
Akron, OH	49.38
Albany, GA	44.52
Albany-Schenectady-Troy, NY	48.37
Albuquerque, NM	48.85
Alexandria, LA	54.63
Allentown-Bethlehem-Easton, PA	53.55
Altoona, PA	43.37
Amarillo, TX	39.68
Ames, IA	35.97
Anchorage, AK	47.98
Anderson, IN	49.92
Anderson, SC	51.22
Ann Arbor, MI	47.00
Anniston-Oxford, AL	50.72
Appleton, WI	38.93
Asheville, NC	46.83
Athens-Clarke County, GA	46.92
Atlanta-Sandy Springs-Marietta, GA	66.33
Atlantic City, NJ	51.07
Auburn-Opelika, AL	44.45
Augusta-Richmond County, GA-SC	52.13
Austin-Round Rock, TX	54.13
Bakersfield. CA	49.75
Baltimore-Towson, MD	63.42
Bangor, ME	45.88
Barnstable Town, MA	50.18
Baton Rouge, LA	55.03
Battle Creek, MI	42.92
Bay City, MI	46.62
Beaumont-Port Arthur, TX	47.50
Bellingham, WA	43.40
Bend, OR	38.52
Bethesda-Gaithersburg-Frederick, MD	68.47
Billings, MT	38.90
Binghamton, NY	43.17
Birmingham-Hoover, AL	57.97
Bismarck, ND	33.85
Blacksburg-Christiansburg-Radford, VA	43.65
Bloomington, IN	46.75
Bloomington-Normal, IL	36.13
Boise City-Nampa, ID	43.53
Boston-Quincy, MA	64.60
Boulder, CO	46.13
Bowling Green, KY	44.68
Bremerton-Silverdale, WA	68.22
Bridgeport-Stamford-Norwalk, CT	58.92
Brownsville-Harlingen, TX	44.30
Brunswick, GA	48.67
Buffalo-Niagara Falls, NY	45.47
Burlington, NC	46.67
Burlington-South Burlington, VT	45.00
Cambridge-Newton-Framingham, MA	58.10
Camden, NJ	60.12
Canton-Massillon, OH	46.68
Carson City, NV	37.72
Casper, WY	35.48
Cedar Rapids, IA	40.40
Champaign-Urbana, IL	37.23
Charleston, WV	54.08
Charleston-North Charleston, SC	52.80
Charlotte-Gastonia-Concord, NC-SC	56.28
Charlottesville, VA	49.32
Chattanooga, TN-GA	51.20
Cheyenne, WY	34.65
Chicago-Naperville-Joliet, IL	67.57
Chico, CA	44.08
Cincinnati-Middletown, OH-KY-IN	52.23
Clarksville, TN-KY	51.27
Cleveland, TN	47.28
Cleveland-Elyria-Mentor, OH	51.98
Coeur d'Alene, ID	45.72
College Station-Bryan, TX	39.80
Colorado Springs, CO	47.62
Columbia, MO	38.77
Columbia, SC	52.38
Columbus, GA-AL	46.52
Columbus, IN	40.45
Columbus, OH	49.73
Corpus Christi, TX	44.75
Corvallis, OR	37.40
Cumberland, MD-WV	52.97
Dallas-Plano-Irving, TX	59.13
Dalton, GA	47.52
Danville, IL	43.60
Danville, VA	49.35
Davenport-Moline-Rock Island, IA-IL	41.35
Dayton, OH	45.40
Decatur, AL	52.15
Decatur, IL	39.00
Deltona-Daytona Beach-Ormond Beach, FL	54.22
Denver-Aurora, CO	56.33
Des Moines-West Des Moines, IA	41.67
Detroit-Livonia-Dearborn, MI	55.65
Dothan, AL	47.30
Dover, DE	48.40
Dubuque, IA	32.73
Duluth, MN-WI	42.25
Durham, NC	48.43
Eau Claire, WI	39.45
Edison, NJ	69.37
El Centro, CA	43.27
Elizabethtown, KY	49.93
Elkhart-Goshen, IN	39.12
Elmira, NY	41.45
El Paso, TX	48.82
Erie, PA	39.78
Essex County, MA	57.57
Eugene-Springfield, OR	41.57
Evansville, IN-KY	44.73
Fairbanks, AK	36.70
Fargo, ND-MN	34.35
Framington, NM	50.80
Fayetteville, NC	48.00
Fayetteville-Springdale-Rogers, AR-MO	43.47
Flagstaff, AZ	40.28
Flint, MI	55.13
Florence, SC	50.98
Florence-Muscle Shoals, AL	51.30
Fond du Lac, WI	39.67
Fort Collins-Loveland, CO	44.58
Fort Lauderdale-Pompano Beach-Deerfield Beach, FL	58.47
Fort Smith, AR-OK	48.18
Fort Walton Beach-Crestview-Destin, FL	47.13
Fort Wayne, IN	44.67
Fort Worth-Arlington, TX	57.32
Fresno, CA	47.27
Gadsden, AL	52.88
Gainesville, FL	46.35
Gainesville, GA	56.17
Gary, IN	57.83
Glens Falls, NY	48.27
Goldsboro, NC	46.38
Grands Fork, ND-MN	31.85
Grand Junction, CO	38.45
Grand Rapids-Wyoming, MI	47.43
Great Falls, MT	33.73
Greeley, CO	49.98
Green Bay, WI	39.93
Greensboro-High Point, NC	48.22
Greenville, NC	46.23
Greenville, SC	48.02
Gulfport-Biloxi, MS	51.78
Hagerstown-Martinsburg, MD-WV	58.03
Hanford-Corcoran, CA	44.50
Harrisburg-Carlisle, PA	47.00
Harrisonburg, VA	41.85
Hartford-West Hartford-East Hartford, CT	48.73
Hattiesburg, MS	51.57
Hickory-Morganton-Lenoir, NC	45.80
Hinesville-Fort Stewart, GA	48.68
Holland-Grand Haven, MI	41.33
Honolulu, HI	58.38
Hot Springs, AR	45.07
Houma-Bayou Cane-Thibodaux, LA	55.90
Houston-Sugar Land-Baytown, TX	61.80
Huntington-Ashland, WV-KY-OH	50.45
Huntsville, AL	47.10
Idaho Falls, ID	42.98
Indianapolis-Carmel, IN	51.28
Iowa City, IA	38.55
Ithaca, NY	37.10
Jackson, MI	49.50
Jackson, MS	51.55
Jackson, TN	43.13
Jacksonville, FL	57.37
Jacksonville, NC	45.43
Janesville, WI	43.40
Jefferson City, MO	44.02
Johnson City, TN	46.75
Johnstown, PA	47.00
Jonesboro, AK	41.43
Joplin, MO	40.83
Kalamazoo-Portage, MI	44.02
Kankakee-Bradley, IL	50.68
Kansas City, MO-KS	49.08
Kennewick-Richland-Pasco, WA	45.27
Killeen-Temple-Fort Hood, TX	46.07
Kingsport-Bristol-Bristol, TN-VA	49.12
Kingston, NY	56.32
Knoxville, TN	49.22
Kokomo, IN	39.10
La Crosse, WI-MN	37.63
Lafayette, IN	39.15
Lafayette, LA	53.43
Lake Charles, LA	44.67
Lake County-Kenosha County, IL-WI	61.70
Lakeland, FL	54.73
Lancaster, PA	45.50
Lansing-East Lansing, MI	45.13
Laredo, TX	46.42
Las Cruces, NM	45.25
Las Vegas-Paradise, NV	52.25
Lawrence, KS	41.18
Lawton, OK	36.42
Lebanon, PA	45.95
Lewiston, ID-WA	34.45
Lewiston-Auburn, ME	49.98
Lexington-Fayette, KY	44.53
Lima, OH	39.73
Lincoln, NE	38.05
Little Rock-North Little Rock, AR	50.10
Logan, UT-ID	36.45
Longview, TX	47.03
Longview, WA	45.43
Los Angeles-Long Beach-Glendale, CA	62.37
Louisville-Jefferson County, KY-IN	50.20
Lubbock, TX	36.95
Lynchburg, VA	49.62
Macon, GA	52.52
Madera, CA	55.45
Madison, WI	43.35
Manchester-Nashua, NH	54.10
Mansfield, OH	43.22
McAllen-Edinburg-Mission, TX	44.92
Medford, OR	39.17
Memphis, TN-AR-MS	53.33
Merced, CA	55.32
Miami-Miami Beach-Kendall, FL	64.50
Michigan city-La Porte, IN	47.22
Midland, TX	39.67
Milwaukee-Waukesha-Weat Allis, WI	47.33
Minneapolis-St. Paul-Bloomington, MN-WI	50.07
Missoula, MT	36.82
Mobile, AL	54.38
Modesto, CA	57.15
Monroe, LA	46.95
Monroe, MI	51.78
Montgomery, AL	49.87
Morgantown, WV	48.82
Morristown, TN	50.58
Mount Vernon-Anacortes, WA	52.70
Muncie, IN	42.37
Muskegon-Norton Shores, MI	44.43
Myrtle Beach-Conway-North Myrtle Beach, SC	50.73
Napa, CA	50.68
Naples-Marco Island, FL	50.35
Nashville-Davidson-Murfreesboro, TN	55.65
Nassau-Suffolk, NY	70.60
Newark-Union, NJ-PA	66.30
New Haven-Milford, CT	42.90
New London-Norwich, CT-RI	49.78
New Orleans-Metairie-Kenner, LA	57.32
New York-White Plains-Wayne, NY-NJ	79.38
Niles-Benton Harbor, MI	42.63
Norwich-New London, CT	47.60
Oakland-Fremont-Hayward, CA	68.13
Ocala, FL	54.90
Ocean City, NJ	49.67
Odessa, TX	40.00
Odgen-Clearfield, UT	46.82
Oklahoma City, OK	47.48
Olympia, WA	51.68
Omaha-Council Bluffs, NE-IA	41.98
Orlando-Kissimmee, FL	57.43
Oshkosh-Neenah, WI	38.13
Owensboro, KY	44.43
Oxnard-Thousand Oaks-Ventura, CA	53.47
Palm Bay-Melbourne-Titusville, FL	52.38
Panama City-Lynn Haven, FL	46.42
Parkersburg-Marietta-Vienna, WV-OH	46.13
Pascagoula, MS	54.10
Pensacola-Ferry Pass-Brent, FL	53.15
Peoria, IL	42.82
Philadelphia, PA	61.72
Phoenix-Mesa-Scottsdale, AZ	55.38
Pine Bluff, AR	49.50
Pittsburgh, PA	54.42
Pittsfield, MA	40.77
Pocatello, ID	36.65
Portland-South Portland-Biddeford, ME	49.35
Portland-Vancouver-Beavertown, OR-WA	51.45
Port St. Lucie-Fort Pierce, FL	54.75
Poughkeepsie-Newburgh-Middletown, NY	66.78
Prescott, AZ	46.52
Providence-New Bedford-Fall River, RI-MA	50.72
Provo-Orem, UT	39.48
Pueblo, CO	43.93
Punta Gorda, FL	50.32
Racine, WI	47.37
Raleigh-Cary, NC	55.48
Rapid City, SD	36.95
Reading, PA	47.75
Redding, CA	44.15
Reno-Sparks, NV	41.27
Richmond, VA	54.10
Riverside-San Bernardino-Ontario, CA	65.98
Roanoke, VA	47.60
Rochester, MN	37.55
Rochester, NY	44.88
Rockford, IL	46.65
Rockingham County-Strafford County, NH	57.83
Rocky Mount, NC	47.65
Rome, GA	51.00
Sacramento-Arden-Arcade-Roseville, CA	54.08
Saginaw-Saginaw Township, MI	46.17
St. Cloud, MN	40.95
St. George, UT	36.03
St. Joseph, MO-KS	42.80
St. Louis, MO-IL	54.80
Salem, OR	49.23
Salinas, CA	49.18
Salisbury, MD	45.95
Salt Lake City, UT	48.52
San Angelo, TX	38.57
San Antonio, TX	53.45
San Diego-Carlsbad-San Marcos, CA	53.25
Sandusky, OH	40.40
San Francisco-San Mateo-Redwood City, CA	61.62
San Jose-Sunnyvale-Santa Clara, CA	56.10
San Luis Obispo-Paso Robles, CA	43.92
Santa Ana-Anaheim-Irvine, CA	57.55
Santa Barbara-Santa Maria, CA	40.45
Santa Cruz-Watsonville, CA	57.87
Santa Fe, NM	45.05
Santa Rosa-Petaluma, CA	55.83
Sarasota-Bradenton-Venice, FL	47.42
Savannah, GA	51.95
Scranton-Wilkes Barre, PA	45.07
Seattle-Bellevue-Everett, WA	57.42
Sebastian-Vero Beach, FL	42.93
Sheboygan, WI	36.02
Sherman-Denison, TX	53.15
Shreveport-Bossier City, LA	47.38
Sioux City, IA-NE-SD	37.78
Sioux Falls, SD	37.55
South Bend-Mishawaka, IN-MI	44.60
Spartanburg, SC	48.50
Spokane, WA	44.72
Springfield, IL	41.78
Springfield, MA	47.07
Springfield, MO	45.85
Springfield, OH	46.50
State College, PA	41.37
Stockton, CA	62.32
Sumter, SC	46.43
Syracuse, NY	43.98
Tacoma, WA	60.35
Tallahassee, FL	50.93
Tampa-St. Petersburg-Clearwater, FL	54.52
Terre Haute, IN	45.47
Texarkana, TX-Texarkana, AR	43.72
Toledo, OH	44.30
Topeka, KS	44.02
Trenton-Ewing, NJ	57.70
Tucson, AZ	50.68
Tulsa, OK	46.55
Tuscaloosa, AL	47.43
Tyler, TX	47.65
Utica-Rome, NY	43.98
Valdosta, GA	43.50
Vallejo-Fairfield, CA	67.67
Victoria, TX	46.58
Vineland-Millville-Bridgeton, NJ	49.68
Virginia Beach-Norfolk-Newport News, VA-NC	51.82
Visalia-Porterville, CA	46.42
Waco, TX	42.87
Warner Robins, GA	43.75
Warren-Troy-Farmington Hills, MI	58.22
Washington-Arlington-Alexandria, DC-MD-VA-WV	69.88
Waterloo-Cedar Falls, IA	34.92
Wausau, WI	38.42
Weirton-Steubenville, WV-OH	48.30
Wenatchee, WA	37.98
West Palm Beach-Boca Raton-Boynton Beach, FL	54.25
Wheeling, WV-OH	48.93
Wichita, KS	41.17
Wichita Falls, TX	38.95
Williamsport, PA	42.12
Wilmington, DE-MD-NJ	53.20
Wilmington, NC	48.67
Winchester, VA-WV	59.10
Winston-Salem, NC	49.27
Worcester, MA	55.32
Yakima, WA	41.27
York-Hanover, PA	51.93
Youngstown-Warren-Boardman, OH-PA	44.98
Yuba City, CA	54.62
Yuma, AZ	40.23