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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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