IMathAS-libretexts

The median incomes of females in a random sample of 30 states of the United States, including the District of Columbia and Puerto Rico, are given in the table below ('Median income of,' 2013). Create a frequency distribution and a relative frequency distribution using 7 classes.

38177
35438
29688
35484
33865
32843
34023
47155
41412
47476
33269
32462
22117
37242
35746
31329
41021
39150
40416
33745
48748
40550
33459
34381
31862
36048
31844
31274
35890
31238

a) Since data were collected for variable(s), the correct graph to make is a .

b) Using the formula class width = (maxX - minX)/(number of classes) and rounding up to the next whole number, the class width is

Complete the frequency/relative frequency table using 7 classes.

Round relative frequencies to 3 decimal places.

Classes	Frequency	Relative Frequency
22116.5 -
-
-
-
-
-
-

c) Which of the following is the correct histogram for the given data?

[Graphs generated by this script: setBorder(54,40,20,5); initPicture(18692,48751.5,0,10);axes(1000,2,1,1000,2); fill="blue"; stroke="black";line([22116.5,-0.2],[22116.5,0.2]); text([22116.5,0],"22116.5","below");line([25921.5,-0.2],[25921.5,0.2]); text([25921.5,0],"25921.5","below");line([29726.5,-0.2],[29726.5,0.2]); text([29726.5,0],"29726.5","below");line([33531.5,-0.2],[33531.5,0.2]); text([33531.5,0],"33531.5","below");line([37336.5,-0.2],[37336.5,0.2]); text([37336.5,0],"37336.5","below");line([41141.5,-0.2],[41141.5,0.2]); text([41141.5,0],"41141.5","below");line([44946.5,-0.2],[44946.5,0.2]); text([44946.5,0],"44946.5","below");line([48751.5,-0.2],[48751.5,0.2]); text([48751.5,0],"48751.5","below");textabs([240,0],"Histogram for Median Income of Females","above");textabs([0,115],"Frequency","right",90);rect([22116.5,0],[25921.5,1]);rect([25921.5,0],[29726.5,1]);rect([29726.5,0],[33531.5,9]);rect([33531.5,0],[37336.5,10]);rect([37336.5,0],[41141.5,5]);rect([41141.5,0],[44946.5,1]);rect([44946.5,0],[48751.5,3]);]
[Graphs generated by this script: setBorder(54,40,20,5); initPicture(18692,48751.5,0,10);axes(1000,2,1,1000,2); fill="blue"; stroke="black";line([22116.5,-0.2],[22116.5,0.2]); text([22116.5,0],"22116.5","below");line([25921.5,-0.2],[25921.5,0.2]); text([25921.5,0],"25921.5","below");line([29726.5,-0.2],[29726.5,0.2]); text([29726.5,0],"29726.5","below");line([33531.5,-0.2],[33531.5,0.2]); text([33531.5,0],"33531.5","below");line([37336.5,-0.2],[37336.5,0.2]); text([37336.5,0],"37336.5","below");line([41141.5,-0.2],[41141.5,0.2]); text([41141.5,0],"41141.5","below");line([44946.5,-0.2],[44946.5,0.2]); text([44946.5,0],"44946.5","below");line([48751.5,-0.2],[48751.5,0.2]); text([48751.5,0],"48751.5","below");textabs([240,0],"Histogram for Median Income of Females","above");textabs([0,115],"Frequency","right",90);rect([22116.5,0],[25921.5,6]);rect([25921.5,0],[29726.5,1]);rect([29726.5,0],[33531.5,9]);rect([33531.5,0],[37336.5,10]);rect([37336.5,0],[41141.5,5]);rect([41141.5,0],[44946.5,1]);rect([44946.5,0],[48751.5,3]);]
[Graphs generated by this script: setBorder(54,40,20,5); initPicture(18692,48751.5,0,10);axes(1000,2,1,1000,2); fill="blue"; stroke="black";line([22116.5,-0.2],[22116.5,0.2]); text([22116.5,0],"22116.5","below");line([25921.5,-0.2],[25921.5,0.2]); text([25921.5,0],"25921.5","below");line([29726.5,-0.2],[29726.5,0.2]); text([29726.5,0],"29726.5","below");line([33531.5,-0.2],[33531.5,0.2]); text([33531.5,0],"33531.5","below");line([37336.5,-0.2],[37336.5,0.2]); text([37336.5,0],"37336.5","below");line([41141.5,-0.2],[41141.5,0.2]); text([41141.5,0],"41141.5","below");line([44946.5,-0.2],[44946.5,0.2]); text([44946.5,0],"44946.5","below");line([48751.5,-0.2],[48751.5,0.2]); text([48751.5,0],"48751.5","below");textabs([240,0],"Histogram for Median Income of Females","above");textabs([0,115],"Frequency","right",90);rect([22116.5,0],[25921.5,1]);rect([25921.5,0],[29726.5,1]);rect([29726.5,0],[33531.5,9]);rect([33531.5,0],[37336.5,10]);rect([37336.5,0],[41141.5,10]);rect([41141.5,0],[44946.5,1]);rect([44946.5,0],[48751.5,3]);]
[Graphs generated by this script: setBorder(54,40,20,5); initPicture(18692,48751.5,0,10);axes(1000,2,1,1000,2); fill="blue"; stroke="black";line([22116.5,-0.2],[22116.5,0.2]); text([22116.5,0],"22116.5","below");line([25921.5,-0.2],[25921.5,0.2]); text([25921.5,0],"25921.5","below");line([29726.5,-0.2],[29726.5,0.2]); text([29726.5,0],"29726.5","below");line([33531.5,-0.2],[33531.5,0.2]); text([33531.5,0],"33531.5","below");line([37336.5,-0.2],[37336.5,0.2]); text([37336.5,0],"37336.5","below");line([41141.5,-0.2],[41141.5,0.2]); text([41141.5,0],"41141.5","below");line([44946.5,-0.2],[44946.5,0.2]); text([44946.5,0],"44946.5","below");line([48751.5,-0.2],[48751.5,0.2]); text([48751.5,0],"48751.5","below");textabs([240,0],"Histogram for Median Income of Females","above");textabs([0,115],"Frequency","right",90);rect([22116.5,0],[25921.5,3]);rect([25921.5,0],[29726.5,1]);rect([29726.5,0],[33531.5,5]);rect([33531.5,0],[37336.5,10]);rect([37336.5,0],[41141.5,9]);rect([41141.5,0],[44946.5,1]);rect([44946.5,0],[48751.5,1]);]

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