Exploring One–Variable Data
Which term describes how spread out or clustered together data values are?
Outlier
Median
Mode
Variation
Which graphical representation shows the five-number summary including minimum, Q1, median, Q3, and maximum?
Bar chart
Histogram
Scatterplot
Boxplot
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 0 3 5 8 8 2 4 5 9
Group Q: Stem Leaves 6 ...
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.
What does the interquartile range (IQR) measure in a quantitative data set?
Variation among all data points
Average value of the data set
Spread of the middle 50% of data
Difference between highest and lowest values
What type of sampling involves dividing the population into groups and then randomly selecting entire groups for inclusion in the sample?
Cluster sampling
Stratified random sampling
Non-probability sampling
Systematic sampling
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
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

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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.
What do we call the middle number when the data are ordered from least to greatest?
Mean absolute deviation
Mode
Median
Standard deviation
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'.