Transcription of AQA STATISTICS 1 REVISION NOTES - Mathsbox
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AVERAGES AND MEASURES OF SPREAD Mode :the most common or most popular data valuethe only average that can be used for qualitative datanot suitable if the data values are very varied Mean:important as it uses all the data valuesDisadvantage affected by extreme values Median:the middle value when the data are in orderFor n data values the median is then+1 th valueNot affected by extreme values Range biggest value smallest value- greatly affected by extreme values Interquartile Range Upper quartile Lower quartile- measures the spread of the middle 50% of the data and is not affected byextreme valuesIQR = 9 - 4 = 5 IQR = = 4 Standard DeviationDeviation from the mean is the difference from a value from the mean valueThe standard deviation is theaverage of all of these deviationsFormulas to work out standard deviation are given in theq SCALING DATAA dditionif you adda to each number in the list of data :New mean = old mean+ aNew median = old median+ aNew mode = old mode+ aStandard deviation is UNCHANGEDM ultiplication - If you multiply each number in the list of data byb.
SAMPLES and PROBABILITIES If you are asked to calculate probabilities involving samples remember to divide the (population) standard deviation by the square root …
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