The following data represent the median household income (in dollars) for the 50 states and the District of Columbia in 2017.

With the first class having a lower class limit of 40,000 and a class width of 5000:

(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 10,000.

(g) Does one frequency distribution provide a better summary of the data than the other? Explain.

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$51,113 $83,382 $57,872 $43,441 $62,447 $54,971 $45,392 $72,231 $53,681 $51.348 $56,885 $50,343 $56,894 $63,451 $61,125 $57,016 $43,903 $59,087 $59,886 $55,240 $57,837 $48,829 $73,575 $51,664 $59,619 $59,768 $59,295 $56,550 $55,006 $71,319 $69,759 $60,208 $81,084 $74,172 $64,609 $73,227 $74,801 $64,610 $63,805 $72,780 $58,873 $57,700 $72,997 $63,173 $71,293 $62,318 $63,481 $71,920 $47,855 $66,390 $75,418 Source: Federal Reserve Bank of St. Louis.