Question
2.)Consider a sample with a mean of 30 and a standard deviation of 5. Use Chebyshev's theorem to determine the minimum percentage of the data
2.)Consider a sample with a mean of 30 and a standard deviation of 5. Use Chebyshev's theorem to determine the minimum percentage of the data within each of the following ranges. (Round your answers to the nearest integer.)
(c)24to36 %
(d)16to44 %
(e)13to47 %
3.) 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$
(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 ---Select--- smaller than larger than the same as the median household income. This indicates that the distribution of household income is ---Select--- 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 ---Select--- are 0 values is 1 value are 2 values are 3 values are 4 values below the lower limit and ---Select--- 0 values 1 value 2 values 3 values 4 values 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 less 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 greater than the median.There are outliers in the data, which is likely why the mean value is greater than the median.There are no outliers in the data, which is likely why the mean value is the same as the median.
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