Question

10. The following frequency table contains the total number of deaths worldwide as a result of earthquakes from 2000 to 2012.YearDeaths2000231200121,357200211,685200333,8192004228,802200588,00320066,6052007712200888,01120091,7902010320,120201121,8532012768Total823,346What is the relative frequency of deaths that occurred in 2003 or earlier? State your answer as a decimal, rounded to the nearest hundredth.

Answer 1

Relative frequency is the ratio of the number of outcomes in which a specified event occurs to the total number of trials.

In our problem, the specified event is 'deaths that occurred in 2003 or earlier' and the total number of trials is the total number of deaths from 2000 to 2012.

Adding up the deaths from 2000 to 2003, we get:

`231+21357+11685+33819=67092`

Then, the relative frequency is:

`\begin{gathered} RF=(67092)/(823346)=0.08148\ldots \\ \Rightarrow RF\approx0.08 \end{gathered}`

After rounding it, the answer is 0.08