Solution Found!
Average Income The following data represent the per capita
Chapter 2, Problem 31E(choose chapter or problem)
The following data represent the per capita (average) disposable income (income after taxes) for the 50 states and the District of Columbia in 2009.
\(\begin{array}{llllll} 30,103 & 33,096 & 35,507 & 37,916 & 41,344 & 43,874 \\ \hline 30,875 & 33,725 & 35,667 & 38,081 & 41,411 & 45,705 \\ \hline 31,632 & 33,786 & 35,676 & 38,503 & 41,552 & 46,957 \\ \hline 31,799 & 34,004 & 36,484 & 38,578 & 41,751 & 48,285 \\ \hline 31,883 & 34,025 & 36,745 & 39,530 & 42,009 & 49,875 \\ \hline 31,946 & 34,089 & 36,751 & 39,578 & 42,325 & 50,313 \\ \hline 32,219 & 34,453 & 36,822 & 39,817 & 42,603 & 54,397 \\ \hline 32,935 & 35,268 & 36,935 & 41,003 & 42,831 & 66,000 \\ \hline 32,992 & 35,381 & 37,780 & & & \\ \hline \end{array}\)
Source: U.S. Bureau of Economic Analysis, March 2010
With the first class having a lower class limit of 30,000 and a class width of 6000:
(a) Construct a frequency distribution.
(b) Construct a relative frequency distribution.
(c) Construct a frequency histogram of the data.
(d) Construct a relative frequency histogram of the data.
(e) Describe the shape of the distribution.
(f) Repeat parts (a) - (e) using a class width of 3000.
(g) Does one frequency distribution provide a better summary of the data than the other? Explain.
Questions & Answers
QUESTION:
The following data represent the per capita (average) disposable income (income after taxes) for the 50 states and the District of Columbia in 2009.
\(\begin{array}{llllll} 30,103 & 33,096 & 35,507 & 37,916 & 41,344 & 43,874 \\ \hline 30,875 & 33,725 & 35,667 & 38,081 & 41,411 & 45,705 \\ \hline 31,632 & 33,786 & 35,676 & 38,503 & 41,552 & 46,957 \\ \hline 31,799 & 34,004 & 36,484 & 38,578 & 41,751 & 48,285 \\ \hline 31,883 & 34,025 & 36,745 & 39,530 & 42,009 & 49,875 \\ \hline 31,946 & 34,089 & 36,751 & 39,578 & 42,325 & 50,313 \\ \hline 32,219 & 34,453 & 36,822 & 39,817 & 42,603 & 54,397 \\ \hline 32,935 & 35,268 & 36,935 & 41,003 & 42,831 & 66,000 \\ \hline 32,992 & 35,381 & 37,780 & & & \\ \hline \end{array}\)
Source: U.S. Bureau of Economic Analysis, March 2010
With the first class having a lower class limit of 30,000 and a class width of 6000:
(a) Construct a frequency distribution.
(b) Construct a relative frequency distribution.
(c) Construct a frequency histogram of the data.
(d) Construct a relative frequency histogram of the data.
(e) Describe the shape of the distribution.
(f) Repeat parts (a) - (e) using a class width of 3000.
(g) Does one frequency distribution provide a better summary of the data than the other? Explain.
ANSWER:Step 1 of 4
The data about the average income for the 51 states and the District of Columbia in 2009 is given.
We have to find the following.
(a) The frequency distribution of data.
(b) The relative frequency distribution of the data.
(c) The frequency histogram of the data.
(d) The relative frequency histogram of the data.
(e) We have to determine the shape of the distribution.
(f) We have repeat the steps by using a class width of 3000.
(g) We have to determine which frequency distribution provide better summary of the data.