Data were collected on the number of days per week that members visit a certain fitness center. The values varied from 0 to 7, and a distribution of relative frequencies for the values was created. Let the random variable X represent the number of days per week that a member visits. The mean of X is 3.12. Which of the following statements is the best interpretation of the mean?

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Answer:

D

Step-by-step explanation:

choice A is not guaranteed since the values varied from 0 to 7.

choice B seems alright, but doesn't include about or anything about the long run.

choice C is incorrect because 50% are less than 3.12 and 50% are greater than 3.12.

choice D seems pretty good, since it says average, long run, approach, etc.

choice E is incorrect because it says "will be". It is not definite.

Option B is correct.

According to the question,

The values varied from 0 to 7, and distribution of relative frequencies for the values was created.

Let the random variable X represent the number of days per week that a member visits. The mean of X is 3.12.

Interpretation A is not the best interpretation as according to questions the values varied from 0 to 7.

Interpretation B, According to data given B's following the condition, but doesn't include about anything about the long run.

Interpretation C, According to the data given C is not the best interpretation because 50% are less than 3.12 and 50% are greater than 3.12.

Interpretation D, According to the data given D is not the best interpretation, since it says average, long run, approach, etc.

Interpretation E, According to the data given E is incorrect because it says "will be" but It is not definite.

Hence, out of the given options, option B is the correct one.

Learn more about random variables here:

https://brainly.com/question/17238189?referrer=searchResults

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