Maths · Topic 2: Year 11
Further statistics
Sampling, cumulative frequency, box plots, histograms and comparing distributions.
Lessons
Ticks are remembered on this device only.
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1
Sampling
Understand populations and samples, spot bias, take random, stratified and systematic samples, and estimate a population using capture-recapture.
6 terms -
2
Cumulative frequency
Build cumulative frequency tables, plot cumulative frequency graphs at the upper class boundaries, and read off the median, quartiles and interquartile range.
6 terms -
3
Box plots
Find the five-number summary, draw box plots, and compare two distributions using the median and interquartile range.
6 terms -
4
Drawing histograms
Calculate frequency density for grouped data with unequal class widths and draw a histogram.
6 terms -
5
Interpreting histograms
Read frequencies from histograms using area, estimate the number in part of a class, and estimate the median and mean.
6 terms -
6
Comparing and describing distributions
Compare data sets using averages and spread, use cumulative frequency curves and box plots to compare, and describe the shape (skew) of a distribution.
6 terms
Downloads
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- Sampling.pptx Built from the lesson script on 30 September 2026. View
- Sampling - Completed Notes.docx The full notes for the lesson, to revise from. Built from the lesson script on 30 September 2026. View
- Sampling - Exam Questions.docx Built from the lesson script on 30 September 2026. View
- Cumulative frequency.pptx Built from the lesson script on 30 September 2026. View
- Cumulative frequency - Completed Notes.docx The full notes for the lesson, to revise from. Built from the lesson script on 30 September 2026. View
- Cumulative frequency - Exam Questions.docx Built from the lesson script on 30 September 2026. View
- Box plots.pptx Built from the lesson script on 30 September 2026. View
- Box plots - Completed Notes.docx The full notes for the lesson, to revise from. Built from the lesson script on 30 September 2026. View
- Box plots - Exam Questions.docx Built from the lesson script on 30 September 2026. View
- Drawing histograms.pptx Built from the lesson script on 30 September 2026. View
- Drawing histograms - Completed Notes.docx The full notes for the lesson, to revise from. Built from the lesson script on 30 September 2026. View
- Drawing histograms - Exam Questions.docx Built from the lesson script on 30 September 2026. View
- Interpreting histograms.pptx Built from the lesson script on 30 September 2026. View
- Interpreting histograms - Completed Notes.docx The full notes for the lesson, to revise from. Built from the lesson script on 30 September 2026. View
- Interpreting histograms - Exam Questions.docx Built from the lesson script on 30 September 2026. View
- Comparing and describing distributions.pptx Built from the lesson script on 30 September 2026. View
- Comparing and describing distributions - Completed Notes.docx The full notes for the lesson, to revise from. Built from the lesson script on 30 September 2026. View
- Comparing and describing distributions - Exam Questions.docx Built from the lesson script on 30 September 2026. View
Key terms in this chapter
All 36, gathered from every lesson.
- Population
- The whole group you want to know about.
- Sample
- A smaller group taken from the population.
- Bias
- Unfairness that makes a sample unrepresentative.
- Random sample
- Every member has an equal chance of selection.
- Stratified sample
- A sample split into groups in proportion to the population.
- Capture-recapture
- A method to estimate the size of a wild population.
- Cumulative frequency
- A running total of frequencies.
- Upper class boundary
- The largest value in a class.
- Median
- The middle value; the value at \(\tfrac{n}{2}\).
- Lower quartile
- The value one quarter of the way through the data.
- Upper quartile
- The value three quarters of the way through the data.
- Interquartile range
- Upper quartile minus lower quartile.
- Box plot
- A diagram showing the five-number summary.
- Five-number summary
- Minimum, LQ, median, UQ, maximum.
- Whisker
- The line from the box out to the minimum or maximum.
- Interquartile range
- The width of the box.
- Range
- Maximum minus minimum.
- Consistent
- Less spread out.
- Histogram
- A chart where bar area shows frequency.
- Frequency density
- Frequency divided by class width.
- Class width
- The upper boundary minus the lower boundary.
- Continuous data
- Data measured, not counted.
- Unequal class widths
- Classes of different sizes.
- Area
- Height multiplied by width.
- Frequency density
- Height of a histogram bar.
- Estimate
- An approximate answer from grouped data.
- Midpoint
- The middle of a class.
- Median class
- The class that contains the median.
- Interpolate
- Find a value part of the way through a class.
- Area
- Width times height.
- Distribution
- How values are spread across a data set.
- Skew
- A lack of symmetry; the tail shows the direction.
- Symmetrical
- The same on both sides of the middle.
- Outlier
- A value much larger or smaller than the rest.
- Consistent
- Little variation.
- In context
- Written using the real situation.