Question

13. 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 percentage of deaths that occurred in 2004? Round your answer to the nearest tenth of a percent. %

Answer 1

You need to determine the percentage of deaths that occurred in 2004. To do so, you have to calculate the relative frequency for the fifth category and multiply the result by 100 to express it as a percentage.

To calculate the relative frequency you have to divide the absolute frequency by the sample size:

`h_i=(f_i)/(n)`
`\begin{gathered} h_5=(f_5)/(n) \\ h_5=(228802)/(823346) \\ h_5=0.27789 \end{gathered}`

Multiply the result by 100 to express it as a percentage and round it to the nearest tenth of a percent:

`0.27789\cdot100=27.789\approx27.8\%`

The percentage of deaths that occurred in 2004 is 27.8%