Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
S6-1S5-1
New NZC (2026)
NZC26-P4-STA-VIS-K-Y9-01NZC26-P4-STA-INT-K-Y10-01NZC26-P4-STA-DKD-P-Y9-02NZC26-P4-STA-DKD-P-Y9-03
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.
Where this fits
What leads into this objective, and where it goes next.
You are here
Interpreting data from box and whisker - CSSI
Know
A distribution is formed from all the possible values of a variable and their frequencies. It can be shown using data visualisations that show patterns, trends, and variations and that include dot plots, bar graphs, frequency tables, box plots, histograms, time-series graphs, scatter plots, and two-way tables.
Statement▸
Year 9 · Statistics · Visualisation of data
NZC26-P4-STA-VIS-K-Y9-01
Do
Calculating the five-point-summary for numerical data: the minimum value; the value of quartile 1, or Q1; the value of the median or quartile 2, or Q2; the value of quartile 3, or Q3; the maximum value
Statement▸
Year 9 · Statistics · Developing knowledge from data
NZC26-P4-STA-DKD-P-Y9-02
Also under S6-1:
- Making an Inference from Sample Data
- Interpreting data from Scatter plot - TARSOG
- Sampling methodology
- Sampling variation
Also under S5-1:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.