In: Statistics and Probability

in a relative frequency distribution, what should the relative frequencies add up to?

In a relative frequency distribution the relative frequencies always add up to 1 .

explanation:

relative frequency = frequency of that class / total frequency.

example :

let, there are three classes with number of students \(a, b, c .\)

total number of students \((n)=a+b+c\)

the relative frequency of the three classes are \(\mathrm{a} / \mathrm{n}, \mathrm{b} / \mathrm{n}, \mathrm{c} / \mathrm{n}\) respectively. \([\mathrm{n}=\mathrm{a}+\mathrm{b}+\mathrm{c}]\)

then the sum of the relative frequencies are:

\(=\frac{a}{n}+\frac{b}{n}+\frac{c}{n}=\frac{a+b+c}{n}=\frac{a+b+c}{a+b+c}=1\)

hence, it is proved .

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