Mean from Frequency Tables Flashcards

GCSE Mathematics (Edexcel) 1MA1

Frequency table

A table that shows how often each value or group of values occurs in a data set.

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Terms in this set (10)

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Frequency table

A table that shows how often each value or group of values occurs in a data set.

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Mean

The average of a set of numbers, calculated by dividing the total of all values by the number of values.

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Step 1: Multiply values by frequencies

For each row in the frequency table, multiply the value (or midpoint for grouped data) by its frequency.

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Step 2: Find the total of the products

Add up all the products from Step 1 to get the total of the values.

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Step 3: Find the total frequency

Add up all the frequencies in the table to get the total number of data points.

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Step 4: Calculate the mean

Divide the total of the products (Step 2) by the total frequency (Step 3).

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Grouped frequency table

A frequency table where data is grouped into intervals (e.g., 0-10, 10-20).

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Midpoint in grouped data

The value halfway between the lower and upper bounds of a group. Used as the representative value for that group.

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Why use midpoints in grouped data?

Exact values are not known in grouped data, so midpoints are used as an estimate for each group.

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Mean formula for frequency tables

Mean = (Sum of values × frequencies) ÷ Total frequency.

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