A survey was done that asked people to indicate whether they preferred to ride a street bike or a mountain bike.
The results of the survey are shown in the two-way table.
Amjed is making a relative frequency table from this data.
What operation should Amjed perform to determine the relative frequency of a person over 30 years old who prefers to ride a mountain bike?

To determine the relative frequency of a person over 30 years old who prefers to ride a mountain bike, we look at the data given for mountain bike that is over 30 years old

Over 30 years old, mountain bike is 26

Now we add all the data given in the table and divide 26 by total to get relative frequency

58 + 164 + 216 + 26 = 463

Relative frequency (over 30 years 0ld ) = [tex]\frac{26}{463}[/tex]

So answer is divide 26 by 463

LucianoBordoli LucianoBordoli · Answer 2 · 2020-03-27T01:54:52+01:00

Answer:

The correct option is d) Divide 26 by 463

Step-by-step explanation:

Let's start defining what is relative frequency.

We can define the relative frequency of an event as the number of times that the event occurs during experiment trials, divided by the total number of trials conducted.

If Amjed wants to determine the relative frequency of a person over 30 years old who prefers to ride a mountain bike, he must divide the number of persons over 30 years old who prefers to ride a mountain bike by the number of persons in the experiment.

The number of persons over 30 years who prefers to ride a mountain bike is 26 (This data is on the two-way table). Now, the number of persons who take the experiment is the sum of all the values in the two-way table :

[tex]58+164+215+26=463[/tex]

Finally, if we divide this two numbers we will obtain the relative frequency that Amjed wants ⇒

[tex]\frac{26}{463}[/tex] ≅ 0.056

The correct option is ''Divide 26 by 463''