Measure of Centre (Leaving Cert Mathematics): Flashcards

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Measure of Centre
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Measure of centre

Single value representing typical/central point of data

Three main measures of centre

Mean, median, and mode

Mean (also known as)

The average

Formula for mean

∑xn\frac{\sum x}{n}

Mean's sensitivity

Sensitive to extreme values (outliers)

Median definition

Middle value when data ordered smallest to largest

Median with even number of values

Average of the two middle numbers

Median vs outliers

Less affected by outliers than the mean

Mode definition

Most frequently occurring value in the data set

Unimodal

Data set with one mode

Multimodal

Data set with more than one mode

When to use mean

For balanced data without outliers

When to use median

For skewed data or when outliers are present

When to use mode

For categorical data or to identify most common value

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