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Question
analyzing tax data the table presents detailed tax data for 10 individuals, including their respective incomes, taxes paid, deductions, and tax refunds. tax id id001 id002 id003 id004 id005 id006 id007 id008 id009 id010 income ($) 78,340 51,270 114,950 88,560 47,380 104,870 67,490 83,240 91,760 57,210 tax paid ($) 12,640 7,850 23,200 14,240 6,750 21,320 10,740 13,240 15,210 8,740 deductions ($) 9,120 5,110 11,650 9,870 4,750 10,620 7,640 9,340 10,120 5,740 tax refund ($) 600 720 1,310 860 520 1,210 760 920 1,010 770 what is the range of the incomes in the sample tax data? $114,950 $47,380 $21,130 $67,570
Step1: Identify max and min income
First, find the maximum and minimum values in the "Income" column. The incomes are: 78,340; 51,270; 114,950; 88,560; 47,380; 104,870; 67,490; 83,240; 91,760; 57,210.
The maximum income ($\text{max}$) is 114,950 and the minimum income ($\text{min}$) is 47,380.
Step2: Calculate the range
The formula for range is $\text{Range} = \text{max} - \text{min}$.
Substitute the values: $114950 - 47380 = 67570$.
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$\$67,570$