Question

analyzing tax data
the table presents detailed tax data for 10 individuals, including their respective incomes, taxes paid, deductions, and tax refunds.
table with columns: tax id, income ($), tax paid ($), deductions ($), tax refund ($); rows for id001 to id010 with respective values
which is the mode of the income in the sample tax data?
options: $83,240; $78,340; no mode; $67,490

Explanation:

Step1: Recall the definition of mode

The mode of a data set is the value that appears most frequently. If all values appear with the same frequency (once, in this case for a small data set with no repeats), there is no mode.

Step2: List the income data

The income values are: \(78,340\), \(51,270\), \(114,950\), \(88,560\), \(47,380\), \(104,870\), \(67,490\), \(83,240\), \(91,760\), \(57,210\).

Step3: Check frequency of each value

Each income value appears exactly once in the data set. Since no value is repeated, there is no mode.

Answer:

no mode