Aresearcher randomly selects a sample of 100 students from the students enrolled at a particular college. she asks each student his age and calculates the mean age of the 100 students. it is 21.3 years. based on this sample, she then estimates the mean age of all students enrolled at the college to be 21.3 years. in what way are descriptive statistics involved in this example? in what way are inferential statistics involved?

Answer with Step-by-step explanation:

Since we have given that

Number of students = 100

Mean = 21.3 years

In what way are descriptive statistics involved in this example?

As we know that descriptive statistics gives information that explains the data is specific manner and while measuring the mean age of the 100 students she needs to collect data by asking their age from them.

In what way are inferential statistics involved?

As we know that inferential statistics form inferences about given populations using given data, so when she estimate the mean age of  100 students, she will use data of 100 students. So, she is using inferential statistics.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

step-by-step explanation:

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