Stats GCSE Averages+comparing data sets

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17 Terms

1
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Pro’s of using the mode
Easy to find, can be used with qualitative and quantitative data, unaffected by extreme values, always a value in the data
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What’s the mode?
The most common value
3
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Con’s of using the mode
Might be no mode or more than one mode, can’t be used to calculate measures of spread
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Pro’s of using the median
Easy to calculate, unaffected by outliers, best to use with skewed data
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What’s the median
The middle value
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Con’s of using the median
May not be a value in the set of data
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Pro’s of using the mean
Uses all the data, can be used to calculate standard deviation and skew
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What’s the mean
The sum of the values divided by the number of values
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Con’s of using the mean
May not be a value in the set of data, always affected by extreme values, can be distorted by open-ended classes
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How to calculate an outlier
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What’s the standard deviation
How much the individual values differ from the mean
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How to calculate skew
(3\*(mean-median))/standard deviation
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How do you compare data sets?
Using a measure of average, spread or skewness
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How do you compare averages?
… for data A is larger than … for data B, so on average data A is more …
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How do you compare spread?
… for data A is larger than that of data B so data A is less consistent than data B
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What does a positive skew mean?
Majority of results were low with few higher results
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What does negative skew mean?
Majority of results were high with few lower results