Question

if a coin is flipped 20 times and a head comes up 9 times, what is the relative frequency of a head coming up?

Answer 1

`f_r=0.45\hspace{3}or\hspace{3}45\%`

Explanation:

The relative frequency is the result of dividing the absolute frequency of a given value by the total number of data:

`f_r=(f_a)/(N)`

Where:

`f_r=Relative\hspace{3}frequency\\f_a=Absolute\hspace{3}frequency\\N=Total\hspace{3}number\hspace{3}of\hspace{3}data`

The absolute frequency is the number of times a value appears, so in this case:

`f_a=9`

if the coin is flipped 20 times then:

`N=20`

Therefore:

`f_r=(9)/(20) =0.45`

You can also express the result as a percentage multiplying by 100:

`\%f_r=0.45*100=45\%`