Te reo Māori terms
click each term to open in Te AkaLearning objective overview
Master Teaching Guide coverage for this objective.
Resources
- Beta: box and whisker - CSSI Skills in Ex 30.02, pg 570
- CorbettMaths - Box PlotsQuestions PDF · Answers
Terminology
- Minimum / Maximum
- Lower Quartile (LQ)
- Upper Quartile (UQ)
- Interquartile Range (IQR)
- Centre (Median)
- Shape (Symmetrical vs. Skewed)
- Spread (Range and IQR)
- Interesting Features (Overlap/Shift)
- Middle 50%
- Sample, Population, Tail
Task goals
- Read the five-number summary (min, LQ, median, UQ, max) and calculate the IQR from a box plot.
- Compare two groups' centre (median) and spread (IQR), and describe shape (symmetrical vs. skewed) from the position of the median within the box and the relative whisker lengths.
- Apply the 75%/50% rule -- check whether one group's median falls inside or outside the other group's IQR -- to judge whether there is evidence of a real difference between two groups.
- Explain why the rule uses the interquartile range (the middle 50%) rather than the full range as its benchmark for typical variation.
- Critique an over-strong conclusion drawn from a numerically higher median whose value nonetheless falls inside the other group's IQR.
- Explain why the five-number summary (and hence the box plot) is resistant to a single outlier, unlike the mean.
Key skills
- Box plot
- Compare distributions
- CSSI
- Median
- IQR
- Spread
- Informal inference
Quick stats
- 0 total questions
- 3 difficulty levels
- Answers included
For teachers
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