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Flip to reveal answersWhat five numbers does a box plot show?
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All 9 Flashcards — Box plots
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Question
What five numbers does a box plot show?
Answer
Minimum, lower quartile Q1, median, upper quartile Q3, maximum.
Question
What does the box span?
Answer
From Q1 to Q3 (the middle 50% of the data), with the median marked inside.
Question
What is the range?
Answer
Maximum − minimum.
Question
What is the interquartile range (IQR)?
Answer
Q3 − Q1 — the spread of the middle 50%.
Question
What fraction of the data is in each box-plot section?
Answer
About 25% (a quarter) in each of the four sections.
Question
State the outlier rule.
Answer
A value is an outlier if it is below Q1 − 1.5·IQR or above Q3 + 1.5·IQR.
Question
How do you test whether a value is an outlier?
Answer
Find IQR, then the fences Q1 − 1.5·IQR and Q3 + 1.5·IQR; compare the value with them.
Question
How do you compare two distributions from box plots?
Answer
Compare the medians (centre) and the IQRs or ranges (spread).
Question
Range vs IQR — what's the difference?
Answer
Range uses the extremes (max − min); IQR uses the quartiles (Q3 − Q1), so it ignores outliers.
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Full study notes for Box plots
Topic 4.2 hub
Data presentation
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