Per capita income is defined as the annual total personal income of the residents of a...

 

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Per capita income is defined as the annual total personal income of the residents of a region divided by the resident population of that region as of July 1 of that year. A report published in Survey of Current Business by the U.S. Bureau of Economic Analysis revealed the following data on per capita income on a state-by-state basis for the year 1996. Rank State Per capita Rank State income Per capita income Rank State Per capita income D.C. $34932 18 R.I. $24765 35 S.D. $21516 Conn. $33189 19 Pa. $24668 36 Wyo. $21245 3 N.J. $31053 20 Alaska $24558 37 Ariz $20989 4 Mass. $29439 21 Fla $24104 38 Maine $20826 5 N.Y. $28782 22 Ohio $23537 39 N.D. $20710 6. Del. $27622 23 Kan $23281 40 Ala. $20055 7 Md. $27221 24 Wis $23269 41 La. $19824 8 I11. $26598 25 Neb $23047 42 S.c $19755 9. N.H. $26520 26 Mo $22864 43 Ку $19687 10 Minn. $25580 27 Ga $22709 44 Idaho $19539 11 Nev $25451 28 Ore $22668 45 Okla $19350 12 Hawaii $25159 29 Iowa $22560 46 Utah $19156 13 Calif $25144 30 Ind. $22440 47 Mont. $19047 14 Colo $25084 31 Vt. $22124 48 Ark. $18928 15 Va $24925 32 Техas $22045 49 N.M. $18770 16 Wash $24838 33 N.C. $22010 50 W.Va. $18444 17 Mich $24810 34 Tenn. $21764 51 Miss. $17471 a) Determine the mean and median of the per capita incomes. Explain any difference between these two measurements of center. (2 marks) b) Obtain the range and sample standard deviation of the per capita incomes. (2 marks) c) Determine the quartiles (Q, and Q.) and IQR of the per capita incomes. (2 marks) d) Find the inner and outer fences to identify outliers. Are there any outliers? (2 marks) (Note: Detailed working must be provided for calculation of mean, median, range, standard deviation and quartiles, otherwise only answer will not deserve full credit] Per capita income is defined as the annual total personal income of the residents of a region divided by the resident population of that region as of July 1 of that year. A report published in Survey of Current Business by the U.S. Bureau of Economic Analysis revealed the following data on per capita income on a state-by-state basis for the year 1996. Rank State Per capita Rank State income Per capita income Rank State Per capita income D.C. $34932 18 R.I. $24765 35 S.D. $21516 Conn. $33189 19 Pa. $24668 36 Wyo. $21245 3 N.J. $31053 20 Alaska $24558 37 Ariz $20989 4 Mass. $29439 21 Fla $24104 38 Maine $20826 5 N.Y. $28782 22 Ohio $23537 39 N.D. $20710 6. Del. $27622 23 Kan $23281 40 Ala. $20055 7 Md. $27221 24 Wis $23269 41 La. $19824 8 I11. $26598 25 Neb $23047 42 S.c $19755 9. N.H. $26520 26 Mo $22864 43 Ку $19687 10 Minn. $25580 27 Ga $22709 44 Idaho $19539 11 Nev $25451 28 Ore $22668 45 Okla $19350 12 Hawaii $25159 29 Iowa $22560 46 Utah $19156 13 Calif $25144 30 Ind. $22440 47 Mont. $19047 14 Colo $25084 31 Vt. $22124 48 Ark. $18928 15 Va $24925 32 Техas $22045 49 N.M. $18770 16 Wash $24838 33 N.C. $22010 50 W.Va. $18444 17 Mich $24810 34 Tenn. $21764 51 Miss. $17471 a) Determine the mean and median of the per capita incomes. Explain any difference between these two measurements of center. (2 marks) b) Obtain the range and sample standard deviation of the per capita incomes. (2 marks) c) Determine the quartiles (Q, and Q.) and IQR of the per capita incomes. (2 marks) d) Find the inner and outer fences to identify outliers. Are there any outliers? (2 marks) (Note: Detailed working must be provided for calculation of mean, median, range, standard deviation and quartiles, otherwise only answer will not deserve full credit]

Answer rating: 100% (QA)

a Median divides the data into two equal halves 50 data is above median value and the ... View the full answer