Mean Flashcards

GCSE Mathematics (Edexcel) 1MA1

Mean (definition)

The mean is the average of a set of numbers, calculated by dividing the sum of the numbers by how many numbers there are.

1 / 10

10 Cards

Terms in this set (10)

Mean (definition)

The mean is the average of a set of numbers, calculated by dividing the sum of the numbers by how many numbers there are.

Formula for Mean

Mean = (Sum of all values) ÷ (Number of values).

Finding the Mean from a List

Add all the numbers in the list together, then divide by the total number of numbers.

Mean from a Frequency Table

Multiply each value by its frequency, add these results together, then divide by the total frequency.

Grouped Frequency Table (Mean)

Use the midpoints of the groups to estimate the mean: (Sum of midpoint × frequency) ÷ Total frequency.

Effect of Adding a Constant to All Values on the Mean

If a constant is added to all values, the mean increases by the same constant.

Effect of Multiplying All Values by a Constant on the Mean

If all values are multiplied by a constant, the mean is also multiplied by the same constant.

Mean vs Median

The mean is affected by extreme values (outliers), while the median is not.

Interpreting the Mean

The mean represents the 'fair share' or 'average' value of a data set.

Limitations of the Mean

The mean can be misleading if the data set contains extreme values or is not evenly distributed.

Get personalised lessons, quizzes, and instant feedback from your AI tutor.