Cumulative Frequency (Edexcel GCSE Maths): Flashcards

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Cumulative frequency
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Definition of cumulative frequency

A running total of frequencies as you move through each group

What cumulative frequency shows

Total frequency accumulated so far, not individual frequencies

Rule for cumulative frequency values in table

Each value must be larger than the previous one

What goes on horizontal axis of CF graph?

Highest value (upper boundary) from each class interval

What goes on vertical axis of CF graph?

Cumulative frequency

Which boundary to use when plotting CF points

Upper boundary of each class interval

How to connect points on CF graph

Draw a smooth curve, never straight lines

Formula for median position

12×total frequency\frac{1}{2} \times \text{total frequency}

Formula for lower quartile (Q1) position

14×total frequency\frac{1}{4} \times \text{total frequency}

Formula for upper quartile (Q3) position

34×total frequency\frac{3}{4} \times \text{total frequency}

Formula for interquartile range (IQR)

Upper quartileLower quartile\text{Upper quartile} - \text{Lower quartile}

What the interquartile range represents

The spread of the middle 50% of the data

Estimating frequency for given value on CF graph

Go up vertically to curve, then read across horizontally

Estimating value for given frequency on CF graph

Go across horizontally to curve, then read down vertically

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