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 | 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 | 5,740 | 770
what is the median of the tax refunds in the sample tax data?
enter your answer in the box.
$ box

Explanation:

Step1: List the tax refund values

First, we list out all the tax refund values from the table: 600, 720, 1310, 860, 520, 1210, 760, 920, 1010, 770.

Step2: Sort the values in ascending order

Sorting these values: 520, 600, 720, 760, 770, 860, 920, 1010, 1210, 1310.

Step3: Find the median

Since there are 10 values (an even number), the median is the average of the 5th and 6th values. The 5th value is 770 and the 6th value is 860. The average is $\frac{770 + 860}{2} = \frac{1630}{2} = 815$.

Answer:

815