Question

the internal revenue service (IRS) publishes data on adjusted gross incomes in Statistics of Income, individual income tax returns. The following relative frequency histogram shows one years individual income tax returns for adjusted gross incomes of less than $50,000.

Answer 1

1. The percentage of the individual income tax returns that had an adjusted gross income between $10,000 and $19,999, inclusive is approximately equal to 28%.
2. The percentage of individual income tax return that had an adjusted gross income less than $30,000 is approximately equal to 85%.
3. The number of adjusted gross income between $30,000 and $49,999, inclusive is approximately equal to 13,489,200.

What is a histogram?

A histogram can be defined as a type of chart that is used to graphically represent a group of data points (statistical information) into user-specified ranges through the use of rectangles or rectangular bars.

Based on the information provided in the histogram (see attachment), the percentage of the individual income tax returns that had an adjusted gross income between $10,000 and $19,999, inclusive is approximately equal to 28%.

From the histogram, the percentage of individual income tax return that had an adjusted gross income less than $30,000 is given by:

Percentage = 38 + 28 + 19

Percentage = 85%.

Lastly, the number of adjusted gross income between $30,000 and $49,999, inclusive is given by:

n = 0.15 × 89,928,000

n = 13,489,200.

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Complete Question:

Adjusted Gross Incomes. The Internal Revenue Service (IRS) publishes data on adjusted gross incomes in Statistics of Income, and Individual Income Tax Returns. The following relative frequency histogram shows one year's individual income tax returns for adjusted gross incomes of less than $50,000.

Use the histogram and the fact that adjusted gross incomes are expressed to the nearest whole dollar to answer each of the following questions.

a. Approximately what percentage of the individual income tax returns had an adjusted gross income between $10,000 and $19,999, inclusive?

b. Approximately what percentage had an adjusted gross income of less than $30,000?

c. The IRS reported that 89,928,000 individual income tax re-turns had an adjusted gross income of less than $50,000. Approximately how many had an adjusted gross income between $30,000 and $49,999, inclusive?