The Five-Number Summary and the Boxplot (VCE SSCE General Mathematics): Quizzes

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The Five-Number Summary and the Boxplot
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What are the five values in the five-number summary?

Minimum, Q1Q_1, MM, Q3Q_3, Maximum

What does the box in a boxplot contain?

The middle 50% of all data values

What percentage of data lies between Q1Q_1 and the median?

25%

A value is an outlier if it lies more than how many IQRs beyond the quartiles?

1.5

What is the formula for the upper fence?

Q3+1.5×IQRQ_3 + 1.5 \times IQR

What percentage of values are less than Q3Q_3?

75%

What characterizes a symmetric distribution on a boxplot?

Median in centre of box; equal whiskers

In a positively skewed distribution, where is the median positioned?

Toward the left side of the box

When drawing boxplots with outliers, where should the whiskers extend to?

Smallest and largest non-outlier values

What four aspects should you address when describing a distribution?

Shape, centre, spread, and outliers

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