Using a Logarithmic (Base 10) Scale to Display Data (VCE SSCE General Mathematics): Flashcards
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Purpose of logarithmic scales
Purpose of logarithmic scales
Display data spanning several orders of magnitude
What log scale does to small vs large values
What log scale does to small vs large values
Spreads out smaller values, compresses larger values
Logarithm to base 10 definition
Logarithm to base 10 definition
Exponent when number is expressed as power of 10
If , then...
If , then...
equals
equals
(because )
Log sign for numbers greater than 1
Log sign for numbers greater than 1
Positive (greater than zero)
Log sign for numbers between 0 and 1
Log sign for numbers between 0 and 1
Negative
Logarithm of zero
Logarithm of zero
Undefined (cannot take log of zero or negative numbers)
Effect of log transformation on skewed distribution
Effect of log transformation on skewed distribution
Changes highly skewed to approximately symmetric
Equal distances on log scale represent
Equal distances on log scale represent
Equal ratios, not equal differences
