Question

No. 10:Do the relative frequencies add up to 1 (equivalent to 100%)?

Answer 1

The relative frequency is expressed as

`\begin{gathered} relative\text{ frequency =}(f)/(n) \\ where \\ f\Rightarrow number\text{ }of\text{ }times\text{ }the\text{ }data\text{ }occurred\text{ }in\text{ }an\text{ }observation \\ n\Rightarrow totalfrequency \end{gathered}`

Given the table below:

The total frequency is

`\begin{gathered} 2+0+3+5+20+42+30+18 \\ =120 \end{gathered}`

To evalute the relative frequncy, we have

By summing up the relative frequncy, we have

`\begin{gathered} 0.0167+0+0.025+0.0417+0.167+0.35+0.25+0.15 \\ =1.0004 \\ \approx1 \end{gathered}`

Hence, we can conclude that the relative frequencies add up to 1