Maths · Topic 1: Year 10
Interpreting and representing data
Types of data, tables, bar charts and pie charts, time series, scatter graphs and lines of best fit, averages and range, stem-and-leaf diagrams and frequency polygons.
Lessons
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1
Statistical diagrams 1
Before data can tell you anything, it has to be sorted. Frequency tables and two-way tables organise it; bar charts and pie charts show it at a glance - as…
6 terms -
2
Time series
Sales, temperatures and visitor numbers all change over time. A time series graph shows how - the overall trend, and the pattern that repeats every season.
5 terms -
3
Scatter graphs
Do taller people have bigger feet? Do older cars sell for less? A scatter graph plots two measurements for each person or thing, and the shape of the points…
6 terms -
4
Line of best fit
When a scatter graph shows correlation, a single straight line through the middle of the points sums up the relationship - and lets you estimate values you…
5 terms -
5
Averages and range
Mean, median and mode each describe a "typical" value in a different way, and the range shows how spread out the data is. From a list, a frequency table or…
6 terms -
6
Statistical diagrams 2
Stem-and-leaf diagrams keep every value while showing the shape of the data; frequency polygons show grouped data as a line. Both are made for comparing - and…
5 terms
Downloads
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- Statistical diagrams 1.pptx Built from the lesson script on 29 September 2026. View
- Statistical diagrams 1 - Completed Notes.docx The full notes for the lesson, to revise from. Built from the lesson script on 29 September 2026. View
- Statistical diagrams 1 - Exam Questions.docx Built from the lesson script on 29 September 2026. View
- Time series.pptx Built from the lesson script on 29 September 2026. View
- Time series - Completed Notes.docx The full notes for the lesson, to revise from. Built from the lesson script on 29 September 2026. View
- Time series - Exam Questions.docx Built from the lesson script on 29 September 2026. View
- Scatter graphs.pptx Built from the lesson script on 29 September 2026. View
- Scatter graphs - Completed Notes.docx The full notes for the lesson, to revise from. Built from the lesson script on 29 September 2026. View
- Scatter graphs - Exam Questions.docx Built from the lesson script on 29 September 2026. View
- Line of best fit.pptx Built from the lesson script on 29 September 2026. View
- Line of best fit - Completed Notes.docx The full notes for the lesson, to revise from. Built from the lesson script on 29 September 2026. View
- Line of best fit - Exam Questions.docx Built from the lesson script on 29 September 2026. View
- Averages and range.pptx Built from the lesson script on 29 September 2026. View
- Averages and range - Completed Notes.docx The full notes for the lesson, to revise from. Built from the lesson script on 29 September 2026. View
- Averages and range - Exam Questions.docx Built from the lesson script on 29 September 2026. View
- Statistical diagrams 2.pptx Built from the lesson script on 29 September 2026. View
- Statistical diagrams 2 - Completed Notes.docx The full notes for the lesson, to revise from. Built from the lesson script on 29 September 2026. View
- Statistical diagrams 2 - Exam Questions.docx Built from the lesson script on 29 September 2026. View
Key terms in this chapter
All 33, gathered from every lesson.
- Frequency
- How many times a value or category appears.
- Discrete data
- Data that can only take particular values, usually counted.
- Continuous data
- Data that can take any value in a range, usually measured.
- Two-way table
- A table showing two sets of information about the same group.
- Composite bar chart
- A bar chart with each bar split into parts for different groups.
- Sector
- A "slice" of a pie chart.
- Time series
- Data recorded at regular intervals of time.
- Trend
- The general direction of the data over time.
- Seasonal variation
- A pattern that repeats at the same time each year.
- Quarter
- A three-month period of the year.
- Prediction
- An estimate of a future value based on the pattern so far.
- Scatter graph
- A graph plotting two sets of data about the same items as points.
- Bivariate data
- Data with two values for each item.
- Correlation
- A relationship between two sets of data.
- Positive correlation
- As one value increases, the other increases.
- Negative correlation
- As one value increases, the other decreases.
- Outlier
- A value that does not fit the pattern of the rest of the data.
- Line of best fit
- A straight line drawn through the middle of the points on a scatter graph, following the trend.
- Interpolation
- Estimating a value inside the range of the data.
- Extrapolation
- Estimating a value outside the range of the data.
- Reliable
- Likely to be accurate.
- Outlier
- A point that does not fit the pattern, ignored when drawing the line.
- Mean
- The total of the values divided by the number of values.
- Median
- The middle value when the data is in order.
- Mode
- The most common value.
- Range
- The difference between the largest and smallest values.
- Modal class
- The class with the highest frequency in grouped data.
- Midpoint
- The value halfway through a class, used to estimate the mean.
- Stem-and-leaf diagram
- A diagram that orders data by splitting each value into a stem and a leaf.
- Key
- The line that explains how to read a diagram, e.g. 7 then 3 means 73.
- Frequency polygon
- A graph joining points plotted at the midpoints of classes against their frequencies.
- Distribution
- How the values of a set of data are spread out.
- Misleading graph
- A graph that gives a false impression of the data.