- 1. Sharing Equally: The Mean
Find the mean of a list by adding the values and dividing by how many, and find a missing value when the mean is given.
- 2. The Mean from a Frequency Table
Calculate the mean from a simple frequency table using a value × frequency column, totalling it, and dividing by the total frequency rather than the number of rows.
- 3. Location and Spread: When the Mean Misleads
Distinguish measures of location (mean, median, mode) from a measure of spread (range), see how an outlier distorts the mean but not the median, and choose and justify the best average for a data set.
- 4. Comparing Two Data Sets
Compare two data sets by discussing both an average and the range, reading a smaller range as greater consistency, and writing a justified conclusion in context.
- 5. Pie Charts I: The Circle as the Whole
Read a pie chart as proportion, not frequency: the whole circle is 360° = 100% = 1, and a missing sector is found by subtracting the known shares from the whole.
- 6. Pie Charts II: Sector Angles from a Frequency Table
Calculate each pie-chart sector angle from a frequency table by finding the multiplier (360° ÷ total) and multiplying each frequency by it, then checking the angles total 360°.
- 7. Pie Charts III: Drawing with a Protractor, and Reading Percentages
Draw an accurate pie chart with a protractor and label every sector, and convert a sector's angle into a percentage of the whole with percentage = angle ÷ 360 × 100.
- 8. Line Graphs, Trends, and Choosing a Display
Construct and interpret line graphs, describe and extend a trend to estimate a future value, and choose an appropriate display for given data.
- 9. Misleading Graphs
Identify the three commonest ways a chart misleads — a missing frequency axis, an axis that does not start at 0, and inconsistent scales — and describe how to correct each one.
- 10. Arguing with Statistics: Same Data, Different Average
Recognise that the same data can support different claims because the mean, median and mode can differ sharply; compute all three and identify which "average" a person is quoting and why.
- 11. The Full Statistical Enquiry Cycle
Run a complete statistical enquiry — collect, present with a table and a chart, compute the summary statistics and interpret with a conclusion — and meet relative frequency as a bridge to probability.
