Averages and Spread (Edexcel GCSE Maths): Flashcards

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Averages and spread
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Measures of spread describe

How data is distributed around the centre

Range definition

Difference between highest and lowest values

Interquartile range (IQR) measures

Spread of middle 50% of data

Quartiles divide data into

Four equal groups of 25% each

Lower quartile (Q1Q_1) position

25% of the way through ordered data

Median (Q2Q_2) position

50% of the way through ordered data

Upper quartile (Q3Q_3) position

75% of the way through ordered data

Before calculating quartiles, arrange data

In ascending order

Formula for Q1Q_1 position

(n+1)div4(n + 1) div 4

Formula for Q3Q_3 position

3(n+1)div43(n + 1) div 4

IQR formula

Q3Q1Q_3 - Q_1

IQR measures spread of

Middle 50% of data values

IQR is robust because

Not affected by extreme values/outliers

Stem and leaf diagrams help find

Quartiles and other measures easily

Median position formula

(n+1)div2(n + 1) div 2

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