Question

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?

Answer 1

The mean of 3.12 represents the average number of days per week that members are expected to visit the fitness center.

Step-by-step explanation:

The mean of the random variable X, which represents the number of days per week that members visit a fitness center, is 3.12. This means that on average, members go to the fitness center about 3.12 days each week when considering all the members surveyed. It's an overall trend that indicates the central tendency or the 'typical' value that we would expect in this data set. It is calculated by multiplying each number of visit days by its relative frequency and adding all these products together, then dividing by the total number of members.

Answer 2

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.