Deciding Which Average to Use (Leaving Cert Mathematics): Flashcards
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Practise the cards
14 cards from this deck
What is the mode?
What is the mode?
Most frequently occurring value in dataset
When to use mode (data type)
When to use mode (data type)
Categorical data (colours, sizes, preferences)
What is the mean?
What is the mean?
Sum of all values divided by number of values
When mean works best
When mean works best
Data closely grouped, normally distributed, no outliers
What is the median?
What is the median?
Middle value when data arranged in numerical order
When median is most suitable
When median is most suitable
Data contains outliers or is skewed
Mode advantage: outliers
Mode advantage: outliers
Not influenced by extreme values or outliers
Mode disadvantage: existence
Mode disadvantage: existence
May not exist if no value repeats
Median advantage: outliers
Median advantage: outliers
Unaffected by extreme values or outliers
Mean advantage: data usage
Mean advantage: data usage
Uses every piece of data in the dataset
Mean disadvantage: outliers
Mean disadvantage: outliers
Heavily influenced by outliers and extreme values
Effect of outliers on mean
Effect of outliers on mean
Mean gets 'pulled' toward extreme values
Effect of outliers on median
Effect of outliers on median
Median remains stable and unaffected
Best average for: 0,0,0,1,2,3,3,4,5,15
Best average for: 0,0,0,1,2,3,3,4,5,15
Median - unaffected by outlier 15