Measures of dispersion for grouped data (Edexcel GCSE Statistics): Flashcards

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Range, quartiles and interquartile range
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How do you find Q1Q_1, the first quartile?

Locate the 25% position using cumulative frequency

What is the method to find quartiles using grouped data?

Use cumulative frequency and linear interpolation

How is the interquartile range (IQR) calculated?

IQR = Q_3 - Q_1

When finding quartiles, what should you show clearly?

Your working, especially interpolation steps

Calculate IQR from Q1=4.41 and Q3=14.1

IQR = 14.1 - 4.41 = 9.69 km

Find Q2: class 5<x≤10, CFbefore=34, pos=60

Q2 = 5 + ((60−34)/38)×5 ≈ 8.40 km

IQR if Q1=4.41 and Q3=14.1?

IQR = 14.1 − 4.41 = 9.69 km

Find Q1: 0<x≤5 class, position 30, f=34, c=5

Q1 ≈ 4.41 km (0 + (30/34)×5 ≈ 4.41)

Find IQR given Q1=4.41 and Q3=14.1

IQR = 14.1 − 4.41 = 9.69 km

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