Each year, a certain magazine publishes a list of "Best Places to Live in the United States." These listings are based on affordability, educational performance, convenience, safety, and livability. Suppose the list below shows the median household income of the magazine's top city in each U.S. state for a certain year. (Round your answers to the nearest cent.)
City Median Household Income ($)
Pelham, AL 66,774
Bozeman, MT 49,305
Juneau, AK 84,103
Papillion, NE 79,133
Paradise Valley, AZ 138,194
Sparks, NV 54,232
Fayetteville, AR 40,837
Nashua, NH 66,874
Monterey Park, CA 57,421
North Arlington, NJ 73,887
Lone Tree, CO 116,763
Rio Rancho, NM 58,984
Manchester, CT 64,830
Valley Stream, NY 88,695
Hockessin, DE 115,126
Concord, NC 54,581
St. Augustine, FL 47,750
Dickinson, ND 71,868
Vinings, GA 73,105
Wooster, OH 43,056
Kapaa, HI 62,548
Mustang, OK 66,716
Meridian, ID 62,901
Beaverton, OR 58,787
Schaumburg, IL 73,826
Lower Merion, PA 117,440
Fishers, IN 87,045
Warwick, RI 63,416
Council Bluffs, IA 46,846
Mauldin, SC 57,482
Lenexa, KS 76,507
Rapid City, SD 47,790
Georgetown, KY 58,711
Franklin, TN 82,336
Bossier City, LA 47,053
Allen, TX 104,526
South Portland, ME 56,474
Orem, UT 54,517
Rockville, MD 100,160
Colchester, VT 69,183
Waltham, MA 75,108
Reston, VA 112,724
Farmington Hills, MI 71,156
Mercer Island, WA 128,486
Woodbury, MN 99,659
Morgantown, WV 38,062
Olive Branch, MS 62,960
New Berlin, WI 74,985
St. Peters, MO 57,730
Cheyenne, WY 56,595
(a) Compute the mean and median (in $) for these household income data.
mean $median $
(b) Compare the mean and median values for these data. What does this indicate about the distribution of household income data?
The mean household income is [smaller than / larger than / the same as] the median household income. This indicates that the distribution of household income is [positively skewed (skewed right) / negatively skewed (skewed left) / symmetric].
(c) Compute the range and standard deviation (in $) for these household income data. (Round your standard deviation to the nearest cent.)
range $standard deviation $
(d) Compute the first and third quartiles (in $) for these household income data.
Q1 $Q3 $
(e) Are there any outliers in these data?
There [are / is] [0 values / 1 value / 2 values / 3 values / 4 values] below the lower limit and [0 values / 1 value / 2 values / 3 values / 4 values] above the upper limit. What does this suggest about the data?
There are outliers in the data, which is likely why the mean value is [less than / greater than] the median.
There are no outliers in the data, which is likely why the mean value is [less than / the same as / greater than] the median.
