Averages (OCR GCSE Maths): Flashcards

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Averages and Measures of Spread
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How to calculate mean

Add all values, divide by number of values

Formula for mean

Sum of all valuesNumber of values\frac{\text{Sum of all values}}{\text{Number of values}}

Definition of median

Middle value when data arranged in ascending order

Median with even number of values

Average of the two middle numbers

Definition of mode

Value that appears most frequently in data set

Formula for range

Largest value minus smallest value

What large range indicates

Data varies greatly

What small range indicates

Data is more consistent

First step to find median

Arrange data values in ascending order

Mode if no value repeats

There is no mode

Advantage of median

Not affected by outliers

Disadvantage of range

Heavily affected by outliers

Estimating mean from grouped data

Use mid-points of each group

Mid-point formula for a class

Lower boundary + Upper boundary2\frac{\text{Lower boundary + Upper boundary}}{2}

Estimated mean from grouped data formula

(Midpt×Freq)Total freq\frac{\sum(\text{Midpt} \times \text{Freq})}{\text{Total freq}}

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