Question

Suppose that prices of a gallon of milk at various stores in one town have a mean of $3.53 with a standard deviation of $0.14. Using Chebyshev's Theorem, state the range in which at least 75% of the data will reside. Please do not round your answers.

Answer 1

Answer:

At least 75% of the data will reside in the range of $3.25 to $3.81.

Step-by-step explanation:

Chebyshev's theorem states that:

At least 75% of the values in a distribution lie within 2 standard deviations of the mean.

At least 89% of the values in a distribution lie within 3 standard deviations of the mean.

In this problem, we have that:

Mean = $3.53

Standard deviation = $0.14.

Using Chebyshev's Theorem, state the range in which at least 75% of the data will reside.

Within 2 standard deviations of the mean

So

From 3.53 - 2*0.14 = $3.25 to 3.53 + 2*0.14 = $3.81.

At least 75% of the data will reside in the range of $3.25 to $3.81.

Answer 2

Answer:

The right anwer is 3.53

Step-by-step explanation:

I literally just t

ook the test and this is what is the right answer