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M1-050-A09-V03
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S-ID.1
Warmup
M1-050-A09-V03
Represent one-variable data with dot plots, histograms, and box plots.
Choose the best display for one-variable data
Problem
Match the purpose of comparing medians and \(\text{IQRs}\) for \(\text{two}\) groups to the most appropriate display among a dot plot, histogram, and box plot. Justify the display's suitability.
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A
A box plot is best because it shows the overall shape of each group in the most detail, so it is the strongest display for comparing all features of the data.
B
A dot plot is best because it shows every individual data value, so the medians and IQRs for two groups are easiest to compare at a glance.
C
A box plot is best because it shows the median and quartiles directly, so comparing the medians and IQRs of two groups is quick and compact.
D
A histogram is best because it groups data into intervals, so the medians and IQRs of two groups can be read directly from the bars.
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Curriculum context
Standard S-ID.1
Category Statistics and Probability
Domain Interpreting Categorical and Quantitative Data
Objective Represent one-variable data with dot plots, histograms, and box plots.
Problem type Choose the best display for one-variable data
