Measures of Centre and Spread (VCE SSCE General Mathematics): Quizzes

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Measures of Centre and Spread
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For nn data values, at what position is the median located?

(n+12)\left(\frac{n+1}{2}\right)th position

Find the median of: 1,1,2,3,3,5,8,8,91, 1, 2, 3, 3, 5, 8, 8, 9

33

What is the formula for the range, RR?

Largest value - smallest value

What percentage of data is below the first quartile (Q1Q_1)?

25%25\%

What is the formula for the interquartile range (IQR)?

IQR=Q3Q1IQR = Q_3 - Q_1

What does the formula xˉ=xn\bar{x} = \frac{\sum x}{n} calculate?

The mean

Which measure is resistant to outliers?

Median

When should you use the median rather than the mean?

When data is skewed or has outliers

What does the IQR measure?

Spread of the middle 50%50\% of data

For symmetric data with no outliers, which measures should be paired together?

Mean and standard deviation

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