Question

the data to the right represent the top seed in kilometers per hour of all the players a certain soccer of a construct a frequency distribution is a frequency histrogram in a realative frequency histogram.what percentage of players had top speed between 18 and 21.9 km H what percentage of players had a top speed less than 13.9 kmh

Answer 1

The relative frequency is the percentage of a count over the total count.

To get the relative frequency, here are the steps:

1. Get the total count.

`\begin{gathered} N=4+8+20+74+336+212 \\ N=654 \end{gathered}`

2. Divide each frequency or count by 654.

For example, the frequency between 10 - 13.9 km/h is 4 players.

`\begin{gathered} P=(x)/(N) \\ P=(4)/(654) \\ P=0.0061 \end{gathered}`

Hence, the relative frequency for the first class interval is 0.0061.

Moving on to the next interval 14 - 17.9 km/h. x = 8 players

`P=(x)/(N)=(8)/(654)=0.0122`

Moving on to the next interval 18-21.9 km/h. x = 20 players

`P=(x)/(N)=(20)/(654)=0.0306`

Moving on to the 4th interval 22 - 25.9 km/h . x = 74 players

`P=(x)/(N)=(74)/(654)=0.1131`

At 5th interval 26 - 29.9 km/h, x = 336 players.

`P=(x)/(N)=(336)/(654)=0.5138`

Finally, at the last interval 30 - 33.9 km/h, x = 212 players.

`P=(x)/(N)=(212)/(654)=0.3242`

Completing the table, we have: