A social scientist, studying racial bias in the court system, records the verdict (guilty/not guilty/jury could not decide) and the defendant's race, for 300 trials. The collected data would be best displayed using:a. a pie-chartb. a two-way tablec. a histogramd. side-by-side boxplotse. scatterplot

Question

Terrence Carpenter

Mathematics

24 January, 14:23

A social scientist, studying racial bias in the court system, records the verdict (guilty/not guilty/jury could not decide) and the defendant's race, for 300 trials. The collected data would be best displayed using:a. a pie-chartb. a two-way tablec. a histogramd. side-by-side boxplotse. scatterplot

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Answers (1)

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Miley Nielsen · Answer 1

b. a two-way table

Step-by-step explanation:

The collected data contains the categories of verdict including guilty, not guilty, jury could not decide with the race of defendant. So, the data will be qualitative and counts for each category can be represented in two-way table.

Now we explain all the options with reasoning.

a. pie chart.

Pie chart will not be appropriate in this case because there are two variables type of verdict and race of defendant. Although pie chart is constructed for qualitative type of data but in this case we have to construct two pie charts one for the type of verdict and second for the race of defendant but still the appropriate comparison of type of verdict and race of defendant can't be made.

b. two-way table.

Two-way table is appropriate in this scenario because the counts of both categories can presented in tabular form and it is easier to understand.

c. histogram.

Histogram is used to present the quantitative type of data. The given data is qualitative so, histogram is not appropriate.

d. Scatter plot

Scatter plot is used to graphically present two quantitative variables. In the given scenario, data contains two qualitative variables and so, scatter plot is not appropriate.