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Let the random variable X represent the number of people living in a household in a certain town. The standard deviation of X is 1.8. Which of the following statements is the best interpretation of the standard deviation?

A) The number of people living in a randomly selected household is expected to be 1.8 people.
B) The number of people living in a randomly selected household will be 1.8 people away from the mean
C) On average, the number of people living in a household varies from the mean by about 1.8 people.
D) For a random sample of households, the average number of people per household is expected to be 1.8 people
E) For a random sample of households, the average number of people per household will be 18 people away from the mean.

Respuesta :

Answer:

C) On average, the number of people living in a household varies from the mean by about 1.8 people

Step-by-step explanation:

Standard Deviation is a statistical measure of magnitude of variation/ dispersion, of a set of values from the mean of the set.

Low standard deviation implies values are closer to the mean. High standard deviation implies values are far/ wide spread around the mean.

If X represents number of people living in a household in a certain town ; standard deviation reflects average level of variation around the mean people living in a household's town.

So, standard deviation = 1.8 implies : On average, the number of people living in a household varies from the mean by about 1.8 people.

ankitprmr2

Option C) is correct.

Step-by-step explanation:

Statistical measure of magnitude of variation or dispersion, of a set of values from the mean of the set is known as standard deviation.  

If the standard deviation is low  that means values are closer to the mean. If standard deviation  is high that means values are wide spread around the mean.  

If the number of people living in a household in a certain town is represented by X, standard deviation reflects average level of variation around the mean people living in a household's town.  

Standard deviation 1.8 means on average, the number of people living in a household varies from the mean by about 1.8 people.

Therefore, option C) is correct.

For more information, refer the link given below

https://brainly.com/question/23907081?referrer=searchResults

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