Suppose that quiz scores in a beginning statistics class have a mean of 7.0 with a standard deviation of 0.6. Using Chebyshev's Theorem, what is the minimum percentage of quiz scores between 5.8 and 8.2

The minimum percentage of quiz scores between 5.8 and 8.2 is 75%.

Step-by-step explanation:

Chebyshev Theorem

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by .

In this question:

The mean is 7, and the standard deviation is 0.6.

What is the minimum percentage of quiz scores between 5.8 and 8.2?

7 - 2*0.6 = 5.8

7 + 2*0.6 = 8.2

Within 2 standard deviations of the mean, so, by the Chebyshev Theorem:

The minimum percentage of quiz scores between 5.8 and 8.2 is 75%.

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.

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step-by-step explanation:

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