Grouped Data and Histograms (HSC SSCE Mathematics Advanced): Quizzes

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Grouped Data and Histograms
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What is the main purpose of grouping data into intervals?

To reduce complexity and show patterns

What is a class centre?

The midpoint of an interval

In interval notation, what does 809080-90 mean?

80value<9080 \leq \text{value} < 90

What is a key feature of rectangles in a frequency histogram?

They join with no gaps between them

Where should a frequency polygon start and end?

On the horizontal axis at both ends

Where does an ogive (cumulative frequency polygon) start?

At zero at the bottom left corner

What is the formula for the mean of grouped data?

xˉ=xfn\bar{x} = \frac{\sum xf}{n}

What is the recommended formula for calculating variance?

s2=x2fnxˉ2s^2 = \frac{\sum x^2f}{n} - \bar{x}^2

What is the relationship between standard deviation and variance?

s=s2s = \sqrt{s^2}

What is a disadvantage of grouping data?

Loss of precision in calculations

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