Using a Logarithmic (Base 10) Scale to Display Data (VCE SSCE General Mathematics): Quizzes

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Using a Logarithmic (Base 10) Scale to Display Data
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Why are logarithmic scales useful for statistical data?

Data spans several orders of magnitude

If log10x=b\log_{10} x = b, then what is xx equal to?

10b10^{b}

What is log10(1000)\log_{10}(1000) equal to?

33

If a number is greater than 11, what can we say about its log10\log_{10} value?

It is positive

If a number is between 00 and 11, its log10\log_{10} value is:

Negative

What is the logarithm of zero?

Undefined

What is log10(100)\log_{10}(100) equal to?

22

If log10(x)=6\log_{10}(x) = 6, what is the value of xx?

1,000,0001,000,000

What happens to a highly skewed distribution after log transformation?

Becomes approximately symmetric

Equal distances on a log scale represent equal:

Ratios

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