Question

Complete the grouped relative frequency distribution for the data. Write each relative frequency as a decimal rounded to the nearest hundredth.( note that we are using a class width of 5)

Answer 1

Relative frequency can be defined as the number of times an event occurs divided by the total number of events occurring in a given scenario. The formula is given to be:

`RF=(f)/(n)`

where f is the number of times the data occurred and n is the total number of observations.

We have the frequency of the individual groups as shown below:

`\begin{gathered} 1\text{ to }5\Rightarrow3 \\ 6\text{ to }10\Rightarrow8 \\ 11\text{ to }15\Rightarrow3 \\ 16\text{ to }20\Rightarrow5 \end{gathered}`

The total number of observations is 19.

Therefore, the relative frequencies are calculated below:

`\begin{gathered} 1\text{ to }5\Rightarrow(3)/(19)=0.16 \\ 6\text{ to }10\Rightarrow(8)/(19)=0.42 \\ 11\text{ to }15\Rightarrow(3)/(19)=0.16 \\ 16\text{ to }20\Rightarrow(5)/(19)=0.26 \end{gathered}`

ANSWER

`\begin{gathered} 1\text{ to }5\Rightarrow0.16 \\ 6\text{ to }10\Rightarrow0.42 \\ 11\text{ to }15\Rightarrow0.16 \\ 16\text{ to }20\Rightarrow0.26 \end{gathered}`

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