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Draw box-and-whisker plots
Find five-number summaries for three datasets, then draw each box plot on its labeled axis. Choose data lengths, order and number range.
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Five-number summaries
Calculate minimum, lower quartile, median, upper quartile and maximum for four or six datasets with 9–13 observations.
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Order each dataset, identify the median, then find the medians of the lower and upper halves. Record all five summary values in increasing order.
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Customize this worksheetUse a consistent quartile convention
Sort before calculating. For odd-length datasets, exclude the overall median from both halves; find each half’s median for Q1 and Q3. Average middle pairs exactly. Whiskers reach the observed minimum and maximum, with no separate outlier rule.
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Learning objective
What this activity builds
Describe the position and spread of a dataset through an exact five-number summary.
Worked example
What is the median of 2, 4, 7, 9?
5.5.
There are two middle values, 4 and 7. Their average, (4 + 7)/2, is the median even though it is not an observation.
Teaching notes
Make the practice count
- Choose four or six datasets; this activity focuses on summary fields rather than drawing plots.
- Ascending, descending and random settings change the presentation order, not the sampled set or its answers.
- For odd-length data, remove the overall median before dividing the remaining observations into two halves.
- Selected data lengths are balanced across tasks, so a short worksheet may not contain every selected length.
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