Maths Age 14-16. D4 Moving averages and cumulative frequency. D4 Moving averages and cumulative frequency. D4.1 Moving averages. A. Contents. D4.2 Plotting moving averages. A. D4.3 Cumulative frequency. A. D4.5 Box-and-whisker diagrams. D4.4 Using cumulative frequency graphs. A. A.
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D4 Moving averages and cumulative frequency
Time in secondsA box-and-whisker diagram
A box-and-whisker diagram, or boxplot, can be used to illustrate the spread of the data in a given distribution using the highest and lowest values, the median, the lower quartile and the upper quartile.
These values can be found from a cumulative frequency graph.
For example, for this cumulative frequency graph showing the results of 100 people holding their breath,
Minimum value = 30
Lower quartile = 42
Median = 47
Upper quartile = 51
Maximum value = 60
378 + 1
James takes part in karting competitions and his Dad records his lap times on a spreadsheet.
In 2004, 378 of James’ lap times were recorded.
The track is 1108 metres long. James’ fastest time in a race was 51.8 seconds.
In which position in the list would the median lap time be?
There are 378 lap times and so the median lap time will be the
378 + 1
378 + 1
In which position in the list would the lower quartile be?
There are 378 lap times and so the lower quartile will be the
In which position in the list would the upper quartile be?
There are 378 lap times and so the upper quartile will be the
What conclusions can you draw about James’ performance?