Grouped Frequency Tables Flashcards

GCSE Mathematics (Edexcel) 1MA1

Grouped frequency table

A table that organises data into intervals (groups) and shows the frequency of data within each interval.

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Terms in this set (10)

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Grouped frequency table

A table that organises data into intervals (groups) and shows the frequency of data within each interval.

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Frequency

The number of times a data value or range of values occurs in a dataset.

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Class interval

A range of values in a grouped frequency table, e.g., 0–10 or 10–20.

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Midpoint of a class interval

The value halfway between the lower and upper boundaries of a class interval, calculated as (lower boundary + upper boundary) ÷ 2.

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Cumulative frequency

The running total of frequencies as you move through the class intervals in a grouped frequency table.

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Estimate of the mean from grouped data

Calculated using the formula: (Σ(f × x)) ÷ Σf, where f is the frequency and x is the midpoint of each class interval.

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Modal class

The class interval with the highest frequency in a grouped frequency table.

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Why grouped data is used

Grouped data is used when there is a large dataset, making it easier to summarise and analyse.

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Limitations of grouped data

Exact values are not known within each class interval, so calculations like the mean are only estimates.

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Cumulative frequency graph

A graph that plots cumulative frequency against the upper boundary of each class interval, used to estimate medians and quartiles.

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