Question

15. Twenty students were asked whether they were freshmen, sophomores, juniors, or seniors. Their responses are as follows:SOFRSRFRSRSOSOSRJRJRJRJRSOSRSRSRSOSRFRSOSelect the correct bar chart for this data.1234567YearFrequencyFRSOJRSR[Graphs generated by this script: setBorder(49,45,0,10); initPicture(0,13,0,7);axes(1000,1,1,1000,1); fill="blue"; textabs([165,0],"Year","above");textabs([0,95],"Frequency","right",90);rect([1,0],[3,3]);text([2,0],"FR","below");rect([4,0],[6,6]);text([5,0],"SO","below");rect([7,0],[9,4]);text([8,0],"JR","below");rect([10,0],[12,7]);text([11,0],"SR","below");]12345YearFrequencyFRSOJRSR[Graphs generated by this script: setBorder(49,45,0,10); initPicture(0,13,0,5);axes(1000,1,1,1000,1); fill="blue"; textabs([165,0],"Year","above");textabs([0,95],"Frequency","right",90);rect([1,0],[3,1]);text([2,0],"FR","below");rect([4,0],[6,4]);text([5,0],"SO","below");rect([7,0],[9,3]);text([8,0],"JR","below");rect([10,0],[12,5]);text([11,0],"SR","below");]1234567YearFrequencyFRSOJRSR[Graphs generated by this script: setBorder(49,45,0,10); initPicture(0,13,0,7);axes(1000,1,1,1000,1); fill="blue"; textabs([165,0],"Year","above");textabs([0,95],"Frequency","right",90);rect([1,0],[3,2]);text([2,0],"FR","below");rect([4,0],[6,7]);text([5,0],"SO","below");rect([7,0],[9,4]);text([8,0],"JR","below");rect([10,0],[12,6]);text([11,0],"SR","below");]1234567YearFrequencyFRSOJRSR

Answer 1

To determine which histogram corresponds to the responses of the students when asked in what grade they were, the first step is to order the data in a frequency table.

The categories you have to use for the table are "freshmen" (FR), "sophomore" (SO), "juniors" (JR), and "seniors" (SR). The frequency for each category corresponds to the number of people that answered accordingly, for example, 3 people answered that they were freshmen, so the absolute frequency for this category is three.

The height of the bars on the bar chart represents the frequency for each category.

Looking at the bar charts, the first one represents the data shown in the table.

The correct option is the first one.