Answered

An outdoor club conducted a survey of its members. The members were asked to state their preference between skiing and snowboarding. Each member had to pick one.

Of the 60 males, 45 stated they preferred to snowboard. Twenty-two of the 60 females preferred to ski.

What is the relative frequency that a male prefers to ski?

1. 0.125
2. 0.25
3. [tex]$0 . \overline{333}$[/tex]
4. [tex]$0 . \overline{405}$[/tex]



Answer :

GinnyAnswer
Of the 60 males surveyed, 45 stated their preference for snowboarding. To find the number of males who prefer skiing, we need to subtract the number of males who prefer snowboarding from the total number of males.

Let's calculate:

[tex]\[ \text{Number of males who prefer skiing} = \text{Total number of males} - \text{Number of males who prefer snowboarding} \][/tex]

[tex]\[ \text{Number of males who prefer skiing} = 60 - 45 \][/tex]

[tex]\[ \text{Number of males who prefer skiing} = 15 \][/tex]

Now, the relative frequency is the ratio of the number of males who prefer skiing to the total number of males. The formula for relative frequency is:

[tex]\[ \text{Relative Frequency} = \frac{\text{Number of males who prefer skiing}}{\text{Total number of males}} \][/tex]

Plugging in the values:

[tex]\[ \text{Relative Frequency} = \frac{15}{60} \][/tex]

When we simplify this fraction, we get:

[tex]\[ \text{Relative Frequency} = \frac{15 \div 15}{60 \div 15} \][/tex]

[tex]\[ \text{Relative Frequency} = \frac{1}{4} \][/tex]

[tex]\[ \text{Relative Frequency} = 0.25 \][/tex]

Therefore, the relative frequency that a male prefers to ski is

[tex]\[ 0.25 \][/tex]

So the correct answer is:

2) 0.25