Measures of Location and Spread (Leaving Cert Mathematics): Flashcards

📚Flashcards
Mode, Median, and Mean
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Purpose of an average

A single representative value for a whole dataset

Three main types of averages

Mode, median, and mean

Definition of mode

Value appearing most frequently in a dataset

Definition of median

Middle value when data arranged in order

Definition of mean

Sum of all values divided by number of values

Formula for mean

sum of numbersnumber of numbers\frac{\text{sum of numbers}}{\text{number of numbers}}

Median position formula (odd nn values)

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

Median with even number of values

Average of the two middle values

Can mode be used for non-numerical data?

Yes, e.g., colours or sports

How mean responds to extreme values

Affected by unusually high or low values

Combined groups: first step for mean

Multiply each group's mean by group size

Essential first step for finding median

Arrange data in order of size

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