Measure of Spread (Leaving Cert Mathematics): Flashcards

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Measure of Spread
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Measure of spread describes

Variability/dispersion in data

Range formula

Max value−Min value\text{Max value} - \text{Min value}

Range is sensitive to

Outliers

IQR represents which % of data

Middle 50%

IQR formula

Q3−Q1Q_3 - Q_1

Q1Q_1 definition

Lower quartile (25th percentile)

Q3Q_3 definition

Upper quartile (75th percentile)

Standard deviation measures

Average distance from mean

Population std deviation symbol

σ\sigma

Sample std deviation symbol

ss

IQR outlier thresholds

<Q1−1.5×IQR< Q_1 - 1.5 \times IQR or >Q3+1.5×IQR> Q_3 + 1.5 \times IQR

Z-score outlier threshold

∣z∣>3|z| > 3

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