Question

Which ratio best defines relative frequency? Number of nonfavorable outcomes:Number of possible outcomes Number of possible outcomes:Number of nonfavorable outcomes Total number of times an experiment is performed:Number of times an event occurs Number of times an event occurs:Total number of times an experiment is performed.

Answer 1

The ratio which best defines relative frequency is, number of times an event occurs:Total number of times an experiment is performed.

What is relative frequency?

Relative frequency of a event is the measure of something happens relative to the total outcomes of that event.

The relative frequency can be given as,

$f_r=\dfrac{f}{n}$

Here, (f) is the frequency of the number of times data occurred in an event and (n) is the total number of outcomes.

The relative frequency can also be defined as, it is the ratio of subgroup frequency to the total frequency of any event.

Now, the ratio has to be find out which best defines relative frequency. Lets check options,

• Number of non-favorable outcomes:Number of possible outcomes-Here, the non-favorable outcomes is asked but for the relative frequency the favorable outcomes is considered.

• Number of possible outcomes:Number of non-favorable outcomes-The number of total outcomes is considered for a relative frequency.

• Total number of times an experiment is performed:Number of times an event occurs-This ratio is inverse as the ratio of relative frequency.

• Number of times an event occurs:Total number of times an experiment is performed-This is the correct option, as it justify the definition of the relative frequency.

Hence, the ratio which best defines relative frequency is, number of times an event occurs:Total number of times an experiment is performed.

Learn more about the relative frequency here;

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