Outliers & Cleaning Data (AQA A-Level Mathematics): Flashcards

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Outliers & Cleaning Data
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Definition of outliers

Data points significantly different from rest of data

Box plot outlier rule

Outside 1.5×IQR1.5 \times \text{IQR} from Q1Q1 or Q3Q3

ZZ-score outlier threshold

ZZ-score >3> 3 or <3< -3

IQR formula

IQR=Q3Q1\text{IQR} = Q3 - Q1

Lower bound for outliers formula

Q11.5×IQRQ1 - 1.5 \times \text{IQR}

Upper bound for outliers formula

Q3+1.5×IQRQ3 + 1.5 \times \text{IQR}

Median vs mean with outliers

Median is less sensitive to outliers

Methods to impute missing data

Mean, median, or mode of remaining data

Standardisation definition

Adjust data to mean of 00 and SD of 11

Normalisation range

Between 00 and 11

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