Relative Frequency (HSC SSCE Mathematics Advanced): Quizzes

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Relative frequency
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What is the formula for relative frequency?

fr=fnf_r = \frac{f}{n}

What are relative frequencies often called?

Experimental probabilities

Which formula gives an alternative way to calculate variance?

Var(X)=E(X2)μ2\text{Var}(X) = E(X^2) - \mu^2

What does the cumulative distribution function F(x)F(x) represent?

P(Xx)P(X \leq x)

What is a key property of all cumulative distribution functions?

They increase from 0 to 1

For a relative frequency histogram with bar width 1, what does the total area equal?

1

How many equal parts do deciles divide data into?

Ten

At what height on a cumulative graph would you find the 68th percentile?

0.68

In the chook problem, what is PP(chook inside circle)?

π4\frac{\pi}{4}

What formula calculates the sample mean from relative frequencies?

xˉ=xfr\bar{x} = \sum x \cdot f_r

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