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Comparing box plots

Comparing box plots.

  • Mark the minimum, Q₁, median, Q₃ and maximum on one consistent scale.
  • The box shows the middle 50%; the whiskers reach the extremes.
  • Compare medians for typical value and IQRs for spread.

Example 1

Compare the two distributions using the median and interquartile range.

Box plot comparison-113579111315171921AB
Compare typical values.B has the higher median.Compare the spread of the middle half.B has the smaller IQR.
B has a higher typical value and a more consistent middle 50% of values.

Example 2

Compare the two distributions using the median and interquartile range.

Box plot comparison0246810121416182022AB
Compare typical values.B has the higher median.Compare the spread of the middle half.B has the smaller IQR.
B has a higher typical value and a more consistent middle 50% of values.

Your turn

Question 1

Compare the two distributions using the median and interquartile range.

Box plot comparison1357911131517192123AB
Check answer
Compare typical values.B has the higher median.Compare the spread of the middle half.B has the smaller IQR.
B has a higher typical value and a more consistent middle 50% of values.
Question 2

Compare the two distributions using the median and interquartile range.

Box plot comparison24681012141618202224AB
Check answer
Compare typical values.B has the higher median.Compare the spread of the middle half.B has the smaller IQR.
B has a higher typical value and a more consistent middle 50% of values.
Question 3

Compare the two distributions using the median and interquartile range.

Box plot comparison35791113151719212325AB
Check answer
Compare typical values.B has the higher median.Compare the spread of the middle half.B has the smaller IQR.
B has a higher typical value and a more consistent middle 50% of values.
Question 4

Compare the two distributions using the median and interquartile range.

Box plot comparison468101214161820222426AB
Check answer
Compare typical values.B has the higher median.Compare the spread of the middle half.B has the smaller IQR.
B has a higher typical value and a more consistent middle 50% of values.
Question 5

Compare the two distributions using the median and interquartile range.

Box plot comparison579111315171921232527AB
Check answer
Compare typical values.B has the higher median.Compare the spread of the middle half.B has the smaller IQR.
B has a higher typical value and a more consistent middle 50% of values.
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