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Grouped Frequency Tables Flashcards
GCSE Mathematics (Edexcel) 1MA1
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Grouped frequency table
A table that organises data into intervals (groups) and shows the frequency of data within each interval.
Frequency
The number of times a data value or range of values occurs in a dataset.
Class interval
A range of values in a grouped frequency table, e.g., 0–10 or 10–20.
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.
Cumulative frequency
The running total of frequencies as you move through the class intervals in a grouped frequency table.
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.
Modal class
The class interval with the highest frequency in a grouped frequency table.
Why grouped data is used
Grouped data is used when there is a large dataset, making it easier to summarise and analyse.
Limitations of grouped data
Exact values are not known within each class interval, so calculations like the mean are only estimates.
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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