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Question
the table presents detailed tax data for 10 individuals, including their respective incomes, taxes paid, deductions, and tax refunds. what is the mean of the tax refunds in the sample tax data? tax id, income ($), tax paid ($), deductions ($), tax refund ($) id001, 78,340, 12,640, 9,120, 600 id002, 51,270, 7,850, 5,110, 720 id003, 114,950, 23,200, 11,650, 1,310 id004, 88,560, 14,240, 9,870, 860 id005, 47,380, 6,750, 4,750, 520 id006, 104,870, 21,320, 10,620, 1,210 id007, 67,490, 10,740, 7,640, 760 id008, 83,240, 13,240, 9,340, 920 id009, 91,760, 15,210, 10,120, 1,010 id010, 57,210, 8,740, 5,710, 770 $815 $876 $890 $868
Step1: List all tax refund values
The tax refunds are: $600, $720, $1310, $860, $520, $1210, $760, $920, $1010, $770
Step2: Calculate sum of refunds
$$600 + 720 + 1310 + 860 + 520 + 1210 + 760 + 920 + 1010 + 770 = 8680$$
Step3: Compute the mean
Mean = $\frac{\text{Total sum}}{\text{Number of data points}}$ = $\frac{8680}{10}$
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$868$