AQA GCSE Maths Graphs and plots
This page covers the following topics:
1. Time series
2. Scatter graphs
3. Box plots
Time series graphs are used to represent data collected over time.
Scatter graphs use a line of best fit, drawn centrally through the points, to show correlations between variables; extend the line to extrapolate (estimate) values outside the range of data given.
Box plots visually display the median, quartiles and interquartile range of a data set against a scale.
Pictograms display data using symbols that makes information visually easier to understand and uses a key to show what each symbol presents. Below is an example displaying the number of cupcakes sold each day at a cafe.
Histograms are used when class intervals are unequal. Frequency is represented by the area of the bar; the height of each bar is called the frequency density and there are no gaps between the bars.
Ben constructs this box plot to display the 400m and 600 run times of his classmates. State 2 comparisons you can make between the two sets of data.
A study surveys some families and constructs a histogram of how much they each spend on food in a week. 20 families spend between £20-£30. Estimate how many families spend over £40.
This list shows the number of hours per day Aaron spends on his homework over 10 days: 3, 2.5, 0.5, 2, 2.75, 2, 3.5, 1, 2, 2.5. Construct a box plot of the data.
This pictogram shows the number of fish in different tanks in an aquarium; what is the average number of fish in a tank?
This table shows how much exercise, e, a group of students do per week, use it to draw a histogram: Hours of exercise, Frequency; 0<e≤0.5, 5; 0.5<e≤1.5, 15; 1.5<e≤2.5, 20. 2.5<e≤4, 11.
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