In: Statistics and Probability
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 ($) |
City | Median
Household Income ($) |
---|---|---|---|
Pelham, AL | 66,770 | Bozeman, MT | 49,301 |
Juneau, AK | 84,099 | Papillion, NE | 79,129 |
Paradise Valley, AZ | 138,190 | Sparks, NV | 54,228 |
Fayetteville, AR | 40,833 | Nashua, NH | 66,870 |
Monterey Park, CA | 57,417 | North Arlington, NJ | 73,883 |
Lone Tree, CO | 116,759 | Rio Rancho, NM | 58,980 |
Manchester, CT | 64,826 | Valley Stream, NY | 88,691 |
Hockessin, DE | 115,122 | Concord, NC | 54,577 |
St. Augustine, FL | 47,746 | Dickinson, ND | 71,864 |
Vinings, GA | 73,101 | Wooster, OH | 43,052 |
Kapaa, HI | 62,544 | Mustang, OK | 66,712 |
Meridian, ID | 62,897 | Beaverton, OR | 58,783 |
Schaumburg, IL | 73,822 | Lower Merion, PA | 117,436 |
Fishers, IN | 87,041 | Warwick, RI | 63,412 |
Council Bluffs, IA | 46,842 | Mauldin, SC | 57,478 |
Lenexa, KS | 76,503 | Rapid City, SD | 47,786 |
Georgetown, KY | 58,707 | Franklin, TN | 82,332 |
Bossier City, LA | 47,049 | Allen, TX | 104,522 |
South Portland, ME | 56,470 | Orem, UT | 54,513 |
Rockville, MD | 100,156 | Colchester, VT | 69,179 |
Waltham, MA | 75,104 | Reston, VA | 112,720 |
Farmington Hills, MI | 71,152 | Mercer Island, WA | 128,482 |
Woodbury, MN | 99,655 | Morgantown, WV | 38,058 |
Olive Branch, MS | 62,956 | New Berlin, WI | 74,981 |
St. Peters, MO | 57,726 | Cheyenne, WY | 56,591 |
(a)
Compute the mean and median (in $) for these household income data.
mean$ _______________
median$ ________________
(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 ---Select--- below the lower limit and ---Select--- above the upper limit.
What does this suggest about the data?
There are no outliers in the data, which is likely why the mean value is the same as the median.
There are no outliers in the data, which is likely why the mean value is greater than the median.
There are outliers in the data, which is likely why the mean value is less than the median.
There are no outliers in the data, which is likely why the mean value is less than the median.
There are outliers in the data, which is likely why the mean value is greater than the median.
There are outliers in the data, which is likely why the mean value is greater than the median.
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