Grouped Frequency Tables (Edexcel GCSE Maths): Flashcards

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Grouped frequency tables
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What are classes in grouped frequency tables?

Ranges or categories of values

Why group data in frequency tables?

Makes large datasets easier to handle and interpret

Rules for class intervals in grouped frequency tables

No overlap, no gaps, all values covered

Mid-interval value definition

Middle point of each class interval

Formula for mid-interval value

Lower endpoint+Upper endpoint2\frac{\text{Lower endpoint} + \text{Upper endpoint}}{2}

Modal class definition

Class interval with highest frequency

How to identify the modal class

Find the class with the highest frequency

Limitation of modal class in grouped data

Cannot determine exact modal value

Median class definition

Class interval containing the middle value(s)

Position of median for nn values

n+12\frac{n+1}{2}

Steps to find median class

Count through frequencies to find class with median position

Formula to estimate mean from grouped data

(f×mid-interval value)f\frac{\sum(f \times \text{mid-interval value})}{\sum f}

Why mean from grouped data is an estimate

Using mid-interval values to represent all points in class

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