IMathAS-libretexts

Students in a statistics class took their second test. The following are the scores they earned. Create a frequency distribution and histogram for the data using a lower class limit of 49.5 and a class width of 10. Describe the shape of the distribution.

99
89
89
71
73
72
72
67
61
63
63
69
61
68
66
58
54
59
55
52
54
53
51
58
51

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

b) For this one the class width is given to be the following: class width =

Complete the frequency/relative frequency table using the given class width.

Round relative frequencies to 3 decimal places.

Classes	Frequency	Relative Frequency
49.5 -
-
-
-
-

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

[Graphs generated by this script: setBorder(54,40,20,5); initPicture(40.5,99.5,0,10);axes(1000,2,1,1000,2); fill="blue"; stroke="black";line([49.5,-0.2],[49.5,0.2]); text([49.5,0],"49.5","below");line([59.5,-0.2],[59.5,0.2]); text([59.5,0],"59.5","below");line([69.5,-0.2],[69.5,0.2]); text([69.5,0],"69.5","below");line([79.5,-0.2],[79.5,0.2]); text([79.5,0],"79.5","below");line([89.5,-0.2],[89.5,0.2]); text([89.5,0],"89.5","below");line([99.5,-0.2],[99.5,0.2]); text([99.5,0],"99.5","below");textabs([240,0],"Histogram for Test 2 Score","above");textabs([0,115],"Frequency","right",90);rect([49.5,0],[59.5,10]);rect([59.5,0],[69.5,8]);rect([69.5,0],[79.5,4]);rect([79.5,0],[89.5,2]);rect([89.5,0],[99.5,6]);]
[Graphs generated by this script: setBorder(54,40,20,5); initPicture(40.5,99.5,0,10);axes(1000,2,1,1000,2); fill="blue"; stroke="black";line([49.5,-0.2],[49.5,0.2]); text([49.5,0],"49.5","below");line([59.5,-0.2],[59.5,0.2]); text([59.5,0],"59.5","below");line([69.5,-0.2],[69.5,0.2]); text([69.5,0],"69.5","below");line([79.5,-0.2],[79.5,0.2]); text([79.5,0],"79.5","below");line([89.5,-0.2],[89.5,0.2]); text([89.5,0],"89.5","below");line([99.5,-0.2],[99.5,0.2]); text([99.5,0],"99.5","below");textabs([240,0],"Histogram for Test 2 Score","above");textabs([0,115],"Frequency","right",90);rect([49.5,0],[59.5,10]);rect([59.5,0],[69.5,8]);rect([69.5,0],[79.5,4]);rect([79.5,0],[89.5,2]);rect([89.5,0],[99.5,1]);]
[Graphs generated by this script: setBorder(54,40,20,5); initPicture(40.5,99.5,0,15);axes(1000,2,1,1000,2); fill="blue"; stroke="black";line([49.5,-0.3],[49.5,0.3]); text([49.5,0],"49.5","below");line([59.5,-0.3],[59.5,0.3]); text([59.5,0],"59.5","below");line([69.5,-0.3],[69.5,0.3]); text([69.5,0],"69.5","below");line([79.5,-0.3],[79.5,0.3]); text([79.5,0],"79.5","below");line([89.5,-0.3],[89.5,0.3]); text([89.5,0],"89.5","below");line([99.5,-0.3],[99.5,0.3]); text([99.5,0],"99.5","below");textabs([240,0],"Histogram for Test 2 Score","above");textabs([0,115],"Frequency","right",90);rect([49.5,0],[59.5,15]);rect([59.5,0],[69.5,8]);rect([69.5,0],[79.5,4]);rect([79.5,0],[89.5,2]);rect([89.5,0],[99.5,1]);]
[Graphs generated by this script: setBorder(54,40,20,5); initPicture(40.5,99.5,0,10);axes(1000,2,1,1000,2); fill="blue"; stroke="black";line([49.5,-0.2],[49.5,0.2]); text([49.5,0],"49.5","below");line([59.5,-0.2],[59.5,0.2]); text([59.5,0],"59.5","below");line([69.5,-0.2],[69.5,0.2]); text([69.5,0],"69.5","below");line([79.5,-0.2],[79.5,0.2]); text([79.5,0],"79.5","below");line([89.5,-0.2],[89.5,0.2]); text([89.5,0],"89.5","below");line([99.5,-0.2],[99.5,0.2]); text([99.5,0],"99.5","below");textabs([240,0],"Histogram for Test 2 Score","above");textabs([0,115],"Frequency","right",90);rect([49.5,0],[59.5,1]);rect([59.5,0],[69.5,2]);rect([69.5,0],[79.5,4]);rect([79.5,0],[89.5,8]);rect([89.5,0],[99.5,10]);]

d) What shape is the histogram above?

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