Misleading data | Maths | Quizalize & Oak National Academy

Starter quiz

What label is on the $x$ axis?
- Average daily ice cream sales
- Frequency
- year ✓
What label is on the $y$ axis?
- Average daily ice cream sales
- Frequency ✓
- year
What does this bar chart show?
- The number of ice creams sold each year.
- The average number of ice creams sold each year.
- The number of ice creams sold each day for each year.
- The average number of ice creams sold each day for each year. ✓
What type of graph is this?
- Bar graph
- Pictograph
- Pie graph
- Scatter graph ✓
What type of correlation (if any) is shown here?
- Negative correlation ✓
- No correlation
- Positive correlation
Which statements best fit the graph?
- As the amount of rain increases, the amount of sun also increases.
- As the amount of rain decreases, the amount of sun also decreases.
- As the amount of rain decreases, the amount of sun increases. ✓
- The more rain we have, the less sun we have. ✓

'Local shops see devastating drop in the number of pupils visiting them in 2023.' What reason explains why the graph may not support the headline?
- The year starts at 2020
- The $y$ axis has a broken scale. ✓
- Not all shops have been surveyed.
- Not all pupils have been surveyed.
What is the difference between the number of pupils in 2021 and 2022?
- '3' ✓
A pie chart (pie graph) is a ______ graph where sectors represent different groups proportionally.
- 'circular' ✓
A scatter graph is a visual representation for ______ data.
- 'bivariate' ✓
If two things are correlated then one must cause the other.
- True - positive correlation means as one variable increases, so does the other.
- False - there may be a third factor affecting both or coincidence. ✓
In what ways could a chart be manipulated to make one element appear significantly bigger than it really is?
- Draw a 3D pie chart, at an angle, with the sector for that element at the front. ✓
- Draw a bar chart and leave numbers off the frequency axis. ✓
- Draw a 2D pie chart, at an angle, with the sector for that element at the front.
- Draw a 3D bar chart with the bar for that element in the background.

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Pupils may think that drawing a graph with a broken axis is incorrect.

It is fine to do this (and is sometimes necessary) but it is important to acknowledge this when trying to draw conclusions from the graph.

Pie chart - A pie chart (pie graph) is a circular graph where sectors represent different groups proportionally.
Time series graph - Time series graphs show data over a time period. The time period is always shown on the x-axis. Data points are joined chronologically by line segments.
Scatter graph - A scatter graph is a visual representation for bivariate data. It can be useful when determining the nature of the relationship between the two variables.