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

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Grouped Data and Histograms
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Intervals/bins in grouped data

Ranges of equal width organizing individual values

Class centre

Midpoint of an interval

Cumulative frequency

Running total of frequencies

Key feature of histogram rectangles

Join with no gaps between them

Frequency polygon

Line graph drawn alongside or instead of histogram

Ogive

Cumulative frequency polygon (pronounced 'oh-jive')

Starting point of an ogive

At zero (bottom left corner)

Mean formula for grouped data

xˉ=xfn\bar{x} = \frac{\sum xf}{n}

Variance formula (computational)

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

Standard deviation formula

s=s2s = \sqrt{s^2}

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