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Question 1: [30 marks] Assume that you work in United States Statistics Authority Board (USSAB) as the Board's principal adviser and report to Mr. Lake Skyrunner. You will need to do some data analysis and prepare a short written report. You will want to ensure that your report is complete and accurate. A source claims that by age of 35, people have reached certain milestones but have good years ahead of them. By 35-year-old, the source stated people have reached milestones like buying a house, finding a partner and having a first child, but several years to go before reaching the peak of their career at age 45. We can see how having that kind of stability behind us and the hope of more success ahead of us, might make it an attractive age. According to the other source, 35 is also an age when you can be at or around the peak of earnings. However, this group of age 35 said they needed the most extra money to feel financially secure. The source stated this was likely to reflect the squeeze on household budgets from the financial commitments involved with having and raising a family. Furthermore, Mr. Skyrunner, the Chief Executive of USSAB, wishes to experiment whether the level of education affected on the annual income, house value, household wealth and amount of money hold in a bank account at given moment. Which group of age distribution will earn more for their annual income? Are 35 years old and above university graduate much convenient to settle down than others? How much they are willing to spend for a house? Mr. Skyrunner asked you, the Board's principal adviser to select a sample of respondents which consisted age distribution of above 35 and below 35 years old. You select a random sample of 102 respondents. The data is attached below. In addition, you need to determine: a) The number of respondents who were high school graduate and earn more than $50,000 per year. b) the number of the respondents much likeable to own household wealth above $100,000. Because Mr. Skyrunner does not deal with statistics daily, include a brief description and interpretation of the summary statistics that you use in the report. Do include additional discussion if necessary. c) How many of the respondents' age 35 years old and above whom reportedly own a home value more than $105,000. Based on the summary statistics which were given, what is the average annual income from the group of 35 years old and above? How about the average annual income from below 35 years old? Compare the relative dispersion between the annual incomes of both category age distributions. What does it mean? d) Based on the summary statistics, determine the mean and standard deviation of bank balance between respondent age 35 years and above and respondent age 35 years and below. Compare the coefficient of variation (CV) between both data. What is your conclusion of CV between both samples (respondent age 35 years and above & respondent age 35 years and below)? e) Determine the skewness for annual income (for age 35 years and above, age 35 years and below, university graduate and high School graduate). Interpret the results. f) State the five-number summary of the household wealth for each level of education. 1 6 7 8 9 10 11 12 13 3 X2 1 No 2 1 2 X1 1 1 1 1 1 3 2 4 3 1 5 4 2 2 1 1 6 5 7 6 1 1 8 7 1 2 Legend: X1: Age Distribution of the Respondents (1 = above of 35 year old, 2 = below of 35 year old) X2: Education Level of the Respondents (1 = University graduate, 2 = High school graduate) X3: Annual Income X4: Home Value X5: Household Wealth X6: Bank Balance 9 8 1 2 10 1 9 10 2 2 11 2 1 12 11 2 4 X3 $91,033 $86,748 $72,245 $70,639 $64,879 $75,591 $80,615 $76,507 $107,935 $82,557 $58,294 $88,041 $64,597 $64,894 $61,091 $76,771 $55,609 $74,091 $53,713 $60,262 $111,548 $48,600 $51,419 $51,182 5 X4 $183,104 $163,843 $142,732 $145,024 $135,951 $155,334 $181,265 $149,880 $276,139 $182,088 $123,500 $194,369 $119,305 $141,011 $194,928 $159,531 $123,085 $143,750 $112,649 $126,928 $230,893 $105,737 $104,149 $106,898 13 1 2 12 13 X5 $220,741 $223,152 $176,926 $166,260 $148,868 $188,310 $201,743 $189,727 $211,085 $220,782 $132,432 $267,556 $186,156 $160,017 $113,559 $197,264 $105,582 $217,869 $117,441 $161,322 $331,009 $106,671 $111,168 $88,370 X6 $38,517 $40,618 $35,206 $33,434 $28,162 $36,708 $38,766 $34,811 $41,032 $41,742 $29,950 $51,107 $34,936 $32,387 $32,150 $37,996 $24,672 $37,603 $26,785 $32,576 $56,569 $26,144 $24,558 $23,584 14 2 1 15 14 1 1 16 1 1 17 15 16 17 1 18 1 1 19 1 2 18 19 20 2 2 20 1 1 21 22 21 1 1 23 2 1 22 23 1 1 24 25 24 1 1 25 1 26 27 2 2 1 26 27 28 1 1 29 28 1 1 30 29 2 1 31 30 1 1 32 31 2 1 1 33 32 2. 34 33 2 1 35 34 1 1 1 36 35 1 37 36 2 2 1 38 39 37 38 $60,753 $64,601 $62,164 $46,607 $61,446 $62,024 $54,986 $48,182 $47,388 $55,273 $53,892 $47,923 $46,176 $33,088 $53,890 $57,390 $48,439 $56,803 $52,392 $48,631 $52,500 $42,401 $64,792 $59,842 $65,625 2 2 1 $95,869 $103,737 $114,257 $94,576 $122,619 $134,430 $105,647 $114,436 $92,820 $102,468 $92,968 $104,539 $92,654 $105,430 $108,446 $111,836 $100,788 $149,138 $93,875 $95,490 $105,377 $106,478 $116,071 $106,949 $129,688 $143,115 $134,223 $144,038 $114,799 $161,538 $149,351 $126,929 $102,732 $118,016 $126,959 $129,176 $88,384 $101,964 $44,223 $95,013 $134,434 $124,474 $101,695 $133,101 $105,202 $139,199 $94,867 $185,714 $135,329 $175,000 $26,773 $27,877 $28,507 $27,096 $28,018 $31,283 $24,671 $25,280 $24,890 $26,114 $27,570 $20,826 $23,858 $20,834 $26,542 $27,396 $31,054 $29,198 $24,650 $23,610 $29,706 $21,572 $32,677 $29,347 $29,127 2 40 39 1 41 40 2 1 42 41 1 1 43 42 1 44 2 2 1 2 43 44 45 45 1 46 1 1 47 46 1 1 48 47 2 49 48 2 1 2 2 50 49 1 51 2 1 52 1 1 53 1 54 1 55 1 50 51 52 53 54 55 56 57 58 59 56 2 2 2 1 57 2 1 58 2 59 1 2 60 1 1 1 61 60 2 62 2 1 63 61 62 63 1 $54,044 $39,707 $45,286 $37,784 $52,284 $42,944 $46,036 $50,357 $45,521 $30,418 $52,500 $41,795 $66,667 $38,596 $44,286 $37,287 $38,184 $47,119 $44,520 $52,838 $34,688 $31,770 $32,994 $33,891 $37,813 $46,528 $108,654 $89,552 $108,431 $92,712 $92,143 $86,192 $99,508 $90,750 $82,720 $139,739 $94,792 $94,456 $78,906 $95,364 $93,103 $75,561 $80,099 $88,958 $96,112 $101,705 $82,870 $74,525 $89,223 $72,739 $86,667 $88,889 $140,726 $80,124 $91,928 $60,721 $146,028 $98,778 $98,343 $126,613 $105,346 $24,999 $147,222 $91,806 $143,750 $54,453 $110,465 $86,591 $76,438 $102,993 $93,915 $75,040 $93,750 $47,446 $50,592 $81,880 $69,643 $96,591 $27,753 $21,345 $28,174 $19,125 $29,763 $22,275 $27,005 $24,076 $23,293 $16,854 $28,867 $21,556 $31,758 $17,939 $22,579 $19,343 $21,534 $22,357 $25,276 $23,077 $20,082 $15,912 $21,145 $18,340 $19,196 $21,798 64 1 1 1 65 64 66 2 2 65 66 67 1 1 68 67 2 69 68 1 1 70 69 1 71 2 72 1 2 73 1 1 70 71 72 73 74 75 1 2 74 75 2 2 76 2 2 77 76 2 2 78 1 77 78 1 1 79 2 80 79 2 2 81 80 2 1 82 1 2 81 82 83 2 1 1 84 83 1 85 84 1 1 86 85 86 2 2 1 1 87 88 87 2 2 89 88 1 1 90 2 1 $30,319 $36,492 $51,818 $35,625 $36,789 $42,750 $30,412 $37,083 $31,563 $15,395 $21,433 $31,250 $31,344 $29,733 $41,607 $32,813 $29,375 $34,896 $20,578 $32,574 $30,589 $26,565 $16,590 $9,354 $14,115 $17,992 $7,741 89 90 91 $67,083 $172,768 $80,357 $64,737 $86,563 $77,717 $138,911 $70,909 $81,597 $67,500 $83,456 $91,049 $77,541 $60,252 $76,270 $40,313 $52,096 $65,357 $113,239 $50,244 $69,375 $64,038 $67,850 $91,708 $53,923 $46,885 $99,375 $34,367 $24,999 $135,185 $76,321 $69,764 $95,192 $24,999 $95,833 $71,759 $24,999 $24,999 $52,976 $36,510 $27,531 $98,455 $79,167 $24,999 $81,818 $24,999 $49,662 $48,890 $42,543 $24,999 $24,999 $24,999 $24,999 $24,999 $13,677 $20,572 $26,242 $17,077 $20,020 $25,385 $20,463 $21,670 $15,961 $5,956 $11,380 $18,959 $16,100 $14,620 $22,340 $26,405 $13,693 $20,586 $14,095 $14,393 $16,352 $17,410 $10,436 $9,904 $9,071 $10,679 $6,207 91 1 2 92 2 2 2 92 2 93 94 1 2 95 93 94 95 1 2 2 96 97 2 2 1 96 97 98 2 2 2 99 2 98 99 100 2 2 2 2. 101 102 100 101 102 2 2 103 1 2 1 2 3 4 5 6 7 8 9 10 11 12 13 14 1 2 SUMMARY STATISTICS FOR 35 YEARS OLD AND ABOVE 3 X3 X4 X5 X6 4 5 Mean 6 Median 7 Mode 8 Std Deviation 9 Skewness 10 Range 11 Minimum 12 Maximum 26980 25330.5 N/A 8898.6263 53023.3889 50769.5 N/A 19933.8738 0.9273 103807 7741 111548 2863263 Mean Median Mode Std Deviation Skewness Range Minimum Maximum Sum 116053.1852 102086.5 N/A 43252.0527 1.6077 210782 65357 276139 6266872 Mean Median Mode Std Deviation Skewness Range Minimum Maximum Sum 120380.8704 108023.5 24999 62245.7103 1.0110 306010 Mean Median Mode Std Deviation Skewness Range Minimum Maximum Legend: X1: Age Distribution of the Respondents (1 = above of 35 year old, 2 = below of 35 year old) X2: Education Level of the Respondents (1 = University graduate, 2 = High school graduate) X3: Annual Income ($) X4: Home Value ($) X5: Household Wealth ($) 0.9289 24999 331009 50362 6207 56569 1456920 13 Sum 6500567 Sum 14 15 SUMMARY STATISTICS FOR 35 YEARS OLD AND BELOW X4 X5 16 X3 X6 17 18 Mean 19 Median 20 Mode 21 Std Deviation 22 Skewness 44072.0417 46282 N/A 17725.3913 0.0225 Mean Median Mode Std Deviation Skewness Range Minimum Maximum Sum 96485.2083 94165.5 N/A 30294.0461 0.4791 141775 40313 182088 4631290 Mean Median Mode Std Deviation Skewness Range Minimum Maximum Sum 96251.2708 97467 24999 54864.7478 0.2628 195783 24999 220782 4620061 Mean Median Mode Std Deviation Skewness Range Minimum Maximum 22534.25 22316 N/A 7911.4168 0.0216 35786 5956 41742 1081644 23 Range 24 Minimum 25 Maximum 73203 9354 82557 2115458 26 Sum Sum 27 28 SUMMARY STATISTICS FOR UNIVERSITY GRADUATE X4 X5 X6 29 X3 30 31 Mean 32 Median 33 Mode 34 Std Deviation 35 Skewness 36 Range 37 Minimum 38 Maximum 39 Sum 51806.8833 51959.5 52500 17298.9512 0.6680 96153 Mean Median Mode Std Deviation Skewness Range Minimum Maximum Sum 113585.6667 105512 N/A 32397.5033 1.2937 170641 60252 230893 6815140 Mean Median Mode Std Deviation Skewness Range Minimum Maximum Sum 114735.2333 110816.5 24999 57760.1949 0.7752 306010 24999 331009 6884114 Mean Median Mode Std Deviation Skewness Range Minimum Maximum Sum 26058.4667 26129 N/A 7828.8978 0.7353 50613 5956 56569 1563508 15395 111548 3108413 40 41 SUMMARY STATISTICS FOR HIGH SCHOOL GRADUATE X4 X5 X6 O 42 X3 43 44 Mean 45 Median 46 Mode 47 Std Deviation 48 Skewness 49 Range 50 Minimum 51 Maximum 52 Sum 53 44531.1429 42178.5 N/A 21469.9449 0.8386 100194 Mean Median Mode Std Deviation Skewness Range Minimum Maximum Sum 97214.8095 87778 N/A 45119.1412 2.0341 235826 Mean Median Mode Std Deviation Skewness Range Minimum Maximum Sum 100869.3810 92839 24999 62476.1676 0.8388 242557 24999 267556 4236514 Mean Median Mode Std Deviation Skewness Range Minimum Maximum 23215.6190 22036.5 N/A 9658.7756 0.7331 44900 6207 51107 975056 7741 40313 276139 107935 1870308 4083022 Sum Question 1: [30 marks] Assume that you work in United States Statistics Authority Board (USSAB) as the Board's principal adviser and report to Mr. Lake Skyrunner. You will need to do some data analysis and prepare a short written report. You will want to ensure that your report is complete and accurate. A source claims that by age of 35, people have reached certain milestones but have good years ahead of them. By 35-year-old, the source stated people have reached milestones like buying a house, finding a partner and having a first child, but several years to go before reaching the peak of their career at age 45. We can see how having that kind of stability behind us and the hope of more success ahead of us, might make it an attractive age. According to the other source, 35 is also an age when you can be at or around the peak of earnings. However, this group of age 35 said they needed the most extra money to feel financially secure. The source stated this was likely to reflect the squeeze on household budgets from the financial commitments involved with having and raising a family. Furthermore, Mr. Skyrunner, the Chief Executive of USSAB, wishes to experiment whether the level of education affected on the annual income, house value, household wealth and amount of money hold in a bank account at given moment. Which group of age distribution will earn more for their annual income? Are 35 years old and above university graduate much convenient to settle down than others? How much they are willing to spend for a house? Mr. Skyrunner asked you, the Board's principal adviser to select a sample of respondents which consisted age distribution of above 35 and below 35 years old. You select a random sample of 102 respondents. The data is attached below. In addition, you need to determine: a) The number of respondents who were high school graduate and earn more than $50,000 per year. b) the number of the respondents much likeable to own household wealth above $100,000. Because Mr. Skyrunner does not deal with statistics daily, include a brief description and interpretation of the summary statistics that you use in the report. Do include additional discussion if necessary. c) How many of the respondents' age 35 years old and above whom reportedly own a home value more than $105,000. Based on the summary statistics which were given, what is the average annual income from the group of 35 years old and above? How about the average annual income from below 35 years old? Compare the relative dispersion between the annual incomes of both category age distributions. What does it mean? d) Based on the summary statistics, determine the mean and standard deviation of bank balance between respondent age 35 years and above and respondent age 35 years and below. Compare the coefficient of variation (CV) between both data. What is your conclusion of CV between both samples (respondent age 35 years and above & respondent age 35 years and below)? e) Determine the skewness for annual income (for age 35 years and above, age 35 years and below, university graduate and high School graduate). Interpret the results. f) State the five-number summary of the household wealth for each level of education. 1 6 7 8 9 10 11 12 13 3 X2 1 No 2 1 2 X1 1 1 1 1 1 3 2 4 3 1 5 4 2 2 1 1 6 5 7 6 1 1 8 7 1 2 Legend: X1: Age Distribution of the Respondents (1 = above of 35 year old, 2 = below of 35 year old) X2: Education Level of the Respondents (1 = University graduate, 2 = High school graduate) X3: Annual Income X4: Home Value X5: Household Wealth X6: Bank Balance 9 8 1 2 10 1 9 10 2 2 11 2 1 12 11 2 4 X3 $91,033 $86,748 $72,245 $70,639 $64,879 $75,591 $80,615 $76,507 $107,935 $82,557 $58,294 $88,041 $64,597 $64,894 $61,091 $76,771 $55,609 $74,091 $53,713 $60,262 $111,548 $48,600 $51,419 $51,182 5 X4 $183,104 $163,843 $142,732 $145,024 $135,951 $155,334 $181,265 $149,880 $276,139 $182,088 $123,500 $194,369 $119,305 $141,011 $194,928 $159,531 $123,085 $143,750 $112,649 $126,928 $230,893 $105,737 $104,149 $106,898 13 1 2 12 13 X5 $220,741 $223,152 $176,926 $166,260 $148,868 $188,310 $201,743 $189,727 $211,085 $220,782 $132,432 $267,556 $186,156 $160,017 $113,559 $197,264 $105,582 $217,869 $117,441 $161,322 $331,009 $106,671 $111,168 $88,370 X6 $38,517 $40,618 $35,206 $33,434 $28,162 $36,708 $38,766 $34,811 $41,032 $41,742 $29,950 $51,107 $34,936 $32,387 $32,150 $37,996 $24,672 $37,603 $26,785 $32,576 $56,569 $26,144 $24,558 $23,584 14 2 1 15 14 1 1 16 1 1 17 15 16 17 1 18 1 1 19 1 2 18 19 20 2 2 20 1 1 21 22 21 1 1 23 2 1 22 23 1 1 24 25 24 1 1 25 1 26 27 2 2 1 26 27 28 1 1 29 28 1 1 30 29 2 1 31 30 1 1 32 31 2 1 1 33 32 2. 34 33 2 1 35 34 1 1 1 36 35 1 37 36 2 2 1 38 39 37 38 $60,753 $64,601 $62,164 $46,607 $61,446 $62,024 $54,986 $48,182 $47,388 $55,273 $53,892 $47,923 $46,176 $33,088 $53,890 $57,390 $48,439 $56,803 $52,392 $48,631 $52,500 $42,401 $64,792 $59,842 $65,625 2 2 1 $95,869 $103,737 $114,257 $94,576 $122,619 $134,430 $105,647 $114,436 $92,820 $102,468 $92,968 $104,539 $92,654 $105,430 $108,446 $111,836 $100,788 $149,138 $93,875 $95,490 $105,377 $106,478 $116,071 $106,949 $129,688 $143,115 $134,223 $144,038 $114,799 $161,538 $149,351 $126,929 $102,732 $118,016 $126,959 $129,176 $88,384 $101,964 $44,223 $95,013 $134,434 $124,474 $101,695 $133,101 $105,202 $139,199 $94,867 $185,714 $135,329 $175,000 $26,773 $27,877 $28,507 $27,096 $28,018 $31,283 $24,671 $25,280 $24,890 $26,114 $27,570 $20,826 $23,858 $20,834 $26,542 $27,396 $31,054 $29,198 $24,650 $23,610 $29,706 $21,572 $32,677 $29,347 $29,127 2 40 39 1 41 40 2 1 42 41 1 1 43 42 1 44 2 2 1 2 43 44 45 45 1 46 1 1 47 46 1 1 48 47 2 49 48 2 1 2 2 50 49 1 51 2 1 52 1 1 53 1 54 1 55 1 50 51 52 53 54 55 56 57 58 59 56 2 2 2 1 57 2 1 58 2 59 1 2 60 1 1 1 61 60 2 62 2 1 63 61 62 63 1 $54,044 $39,707 $45,286 $37,784 $52,284 $42,944 $46,036 $50,357 $45,521 $30,418 $52,500 $41,795 $66,667 $38,596 $44,286 $37,287 $38,184 $47,119 $44,520 $52,838 $34,688 $31,770 $32,994 $33,891 $37,813 $46,528 $108,654 $89,552 $108,431 $92,712 $92,143 $86,192 $99,508 $90,750 $82,720 $139,739 $94,792 $94,456 $78,906 $95,364 $93,103 $75,561 $80,099 $88,958 $96,112 $101,705 $82,870 $74,525 $89,223 $72,739 $86,667 $88,889 $140,726 $80,124 $91,928 $60,721 $146,028 $98,778 $98,343 $126,613 $105,346 $24,999 $147,222 $91,806 $143,750 $54,453 $110,465 $86,591 $76,438 $102,993 $93,915 $75,040 $93,750 $47,446 $50,592 $81,880 $69,643 $96,591 $27,753 $21,345 $28,174 $19,125 $29,763 $22,275 $27,005 $24,076 $23,293 $16,854 $28,867 $21,556 $31,758 $17,939 $22,579 $19,343 $21,534 $22,357 $25,276 $23,077 $20,082 $15,912 $21,145 $18,340 $19,196 $21,798 64 1 1 1 65 64 66 2 2 65 66 67 1 1 68 67 2 69 68 1 1 70 69 1 71 2 72 1 2 73 1 1 70 71 72 73 74 75 1 2 74 75 2 2 76 2 2 77 76 2 2 78 1 77 78 1 1 79 2 80 79 2 2 81 80 2 1 82 1 2 81 82 83 2 1 1 84 83 1 85 84 1 1 86 85 86 2 2 1 1 87 88 87 2 2 89 88 1 1 90 2 1 $30,319 $36,492 $51,818 $35,625 $36,789 $42,750 $30,412 $37,083 $31,563 $15,395 $21,433 $31,250 $31,344 $29,733 $41,607 $32,813 $29,375 $34,896 $20,578 $32,574 $30,589 $26,565 $16,590 $9,354 $14,115 $17,992 $7,741 89 90 91 $67,083 $172,768 $80,357 $64,737 $86,563 $77,717 $138,911 $70,909 $81,597 $67,500 $83,456 $91,049 $77,541 $60,252 $76,270 $40,313 $52,096 $65,357 $113,239 $50,244 $69,375 $64,038 $67,850 $91,708 $53,923 $46,885 $99,375 $34,367 $24,999 $135,185 $76,321 $69,764 $95,192 $24,999 $95,833 $71,759 $24,999 $24,999 $52,976 $36,510 $27,531 $98,455 $79,167 $24,999 $81,818 $24,999 $49,662 $48,890 $42,543 $24,999 $24,999 $24,999 $24,999 $24,999 $13,677 $20,572 $26,242 $17,077 $20,020 $25,385 $20,463 $21,670 $15,961 $5,956 $11,380 $18,959 $16,100 $14,620 $22,340 $26,405 $13,693 $20,586 $14,095 $14,393 $16,352 $17,410 $10,436 $9,904 $9,071 $10,679 $6,207 91 1 2 92 2 2 2 92 2 93 94 1 2 95 93 94 95 1 2 2 96 97 2 2 1 96 97 98 2 2 2 99 2 98 99 100 2 2 2 2. 101 102 100 101 102 2 2 103 1 2 1 2 3 4 5 6 7 8 9 10 11 12 13 14 1 2 SUMMARY STATISTICS FOR 35 YEARS OLD AND ABOVE 3 X3 X4 X5 X6 4 5 Mean 6 Median 7 Mode 8 Std Deviation 9 Skewness 10 Range 11 Minimum 12 Maximum 26980 25330.5 N/A 8898.6263 53023.3889 50769.5 N/A 19933.8738 0.9273 103807 7741 111548 2863263 Mean Median Mode Std Deviation Skewness Range Minimum Maximum Sum 116053.1852 102086.5 N/A 43252.0527 1.6077 210782 65357 276139 6266872 Mean Median Mode Std Deviation Skewness Range Minimum Maximum Sum 120380.8704 108023.5 24999 62245.7103 1.0110 306010 Mean Median Mode Std Deviation Skewness Range Minimum Maximum Legend: X1: Age Distribution of the Respondents (1 = above of 35 year old, 2 = below of 35 year old) X2: Education Level of the Respondents (1 = University graduate, 2 = High school graduate) X3: Annual Income ($) X4: Home Value ($) X5: Household Wealth ($) 0.9289 24999 331009 50362 6207 56569 1456920 13 Sum 6500567 Sum 14 15 SUMMARY STATISTICS FOR 35 YEARS OLD AND BELOW X4 X5 16 X3 X6 17 18 Mean 19 Median 20 Mode 21 Std Deviation 22 Skewness 44072.0417 46282 N/A 17725.3913 0.0225 Mean Median Mode Std Deviation Skewness Range Minimum Maximum Sum 96485.2083 94165.5 N/A 30294.0461 0.4791 141775 40313 182088 4631290 Mean Median Mode Std Deviation Skewness Range Minimum Maximum Sum 96251.2708 97467 24999 54864.7478 0.2628 195783 24999 220782 4620061 Mean Median Mode Std Deviation Skewness Range Minimum Maximum 22534.25 22316 N/A 7911.4168 0.0216 35786 5956 41742 1081644 23 Range 24 Minimum 25 Maximum 73203 9354 82557 2115458 26 Sum Sum 27 28 SUMMARY STATISTICS FOR UNIVERSITY GRADUATE X4 X5 X6 29 X3 30 31 Mean 32 Median 33 Mode 34 Std Deviation 35 Skewness 36 Range 37 Minimum 38 Maximum 39 Sum 51806.8833 51959.5 52500 17298.9512 0.6680 96153 Mean Median Mode Std Deviation Skewness Range Minimum Maximum Sum 113585.6667 105512 N/A 32397.5033 1.2937 170641 60252 230893 6815140 Mean Median Mode Std Deviation Skewness Range Minimum Maximum Sum 114735.2333 110816.5 24999 57760.1949 0.7752 306010 24999 331009 6884114 Mean Median Mode Std Deviation Skewness Range Minimum Maximum Sum 26058.4667 26129 N/A 7828.8978 0.7353 50613 5956 56569 1563508 15395 111548 3108413 40 41 SUMMARY STATISTICS FOR HIGH SCHOOL GRADUATE X4 X5 X6 O 42 X3 43 44 Mean 45 Median 46 Mode 47 Std Deviation 48 Skewness 49 Range 50 Minimum 51 Maximum 52 Sum 53 44531.1429 42178.5 N/A 21469.9449 0.8386 100194 Mean Median Mode Std Deviation Skewness Range Minimum Maximum Sum 97214.8095 87778 N/A 45119.1412 2.0341 235826 Mean Median Mode Std Deviation Skewness Range Minimum Maximum Sum 100869.3810 92839 24999 62476.1676 0.8388 242557 24999 267556 4236514 Mean Median Mode Std Deviation Skewness Range Minimum Maximum 23215.6190 22036.5 N/A 9658.7756 0.7331 44900 6207 51107 975056 7741 40313 276139 107935 1870308 4083022 Sum