Exploring One–Variable Data
Which graphical representation shows the five-number summary including minimum, Q1, median, Q3, and maximum?
Bar chart
Histogram
Scatterplot
Boxplot
When comparing two distributions with similar shapes and spreads, which measure is most reliable for determining if one distribution typically has higher values?
Range
Median
Standard deviation
Mode
In examining parallel box plots measuring test scores from multiple classes, what indicator might suggest that one class's performance is more inconsistent than others even if their medians are identical?
Having more outliers represented by dots outside the whiskers on one plot only.
Boxes with distinct medians marked at various positions within their respective interquartile ranges (IQRs).
Different numbers of observations represented by individual boxes' lengths among classes' plots.
A larger interquartile range (IQR) in one class's box plot compared to others'.
The stem-and-leaf plots below represent the scores of two groups of students, Group P and Group Q, on a math test. Use the plots to compare the score distributions of the two groups.
Group P: Stem Leaves 6 1 4 5 8 7 ...
Group Q has a higher median score than Group P.
Group Q has a wider range of scores compared to Group P.
Group P has a higher proportion of students with scores in the 70-79 range compared to Group Q.
Group P has a higher proportion of students with scores in the 80-89 range compared to Group Q.
When comparing box plots, which component can be used to assess variability between two data sets most effectively?
Maximum value
Interquartile range (IQR)
Lower quartile
Upper extreme
What do we call the middle number when the data are ordered from least to greatest?
Mean absolute deviation
Mode
Median
Standard deviation
When comparing two distributions using histograms, what does it mean if one histogram has taller bars compared to the other?
The distributions have the same median.
The distributions have different medians.
The distributions have different spreads.
The distributions have similar spreads.

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If students are examining whether class participation correlates with exam performance, which measure helps assess the strength and direction of this linear relationship?
Z-score for individual participation rates
Mean absolute deviation (MAD)
Standard error of the mean exam scores
Correlation coefficient (r)
What statistical measure would you use to describe how spread out or close together all values in your data set are?
Probability
Range
Coefficient of variation
Standard deviation
In which scenario would you use a back-to-back stemplot to compare distributions effectively?
When comparing home prices in two adjacent neighborhoods with similar scales but possibly different medians
When looking at a frequency distribution for preferred school subjects among students
A survey response count on whether residents support new zoning laws
When examining changes in unemployment rates over time