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# Let the random variable Q represent the number of students who go to a certain teacher office hour each day. The standard deviation of Q is 2.2. Which of the following is the best interpretation of the standard deviation?

Asked 10 months ago
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a. On average, the number of students going to an office hour varies from the mean by about 2.2 students.
b. For a randomly selected office hour, the number of students who will go is 2.2.
с. For a randomly selected office hour, the number of students expected to go will vary from the mean by 2.2 students.
d. For a random selection of office hours, the average number of students expected to go is 2.2.
e. For a random selection of office hours, the E average number of students expected to go will vary from the mean by 2.2 students.

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A: On average, the number of students going to an office hour varies from the mean by about 2.2 students.

Step-by-step explanation:

We are given that:

- Random variable Q is used to represent the number of students who go to a certain teachers office hour each day.

-The standard deviation of Q is 2.2.

Now, standard deviation in relation to mean is defined as the statistic that measures the dispersion of a set of data relative to its mean.

Applying that definition to the question means that the number of students on the average varies from the mean by 2.2.

Thus, option A is correct. ##### Roy Rodriguez
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answered 10 months ago
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