Measures of Spread (VCE SSCE General Mathematics): Quizzes

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Measures of Spread
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What does a measure of spread quantify about a data set?

How spread out the values are

What is the formula for calculating the range RR?

R=largestsmallestR = \text{largest} - \text{smallest}

What is the critical weakness of the range as a measure of spread?

Heavily influenced by outliers

What does the interquartile range (IQR) measure?

Spread of middle 50% of data

What percentage of observations are below Q3Q_3?

75%

What is the formula for the interquartile range?

IQR=Q3Q1\text{IQR} = Q_3 - Q_1

What does standard deviation measure spread around?

The mean

Why are deviations squared in the standard deviation formula?

Deviations sum to zero otherwise

When is the IQR most appropriate to use?

Data contains outliers

When is standard deviation the most appropriate measure of spread?

Distribution is roughly symmetric

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