Anonymous

# Chebyshev's Theorem?

Suppose that quiz scores in a beginning statistics class have a mean of 7.9 with a standard deviation of 0.5. Using Chebyshev's Theorem, what is the minimum percentage of quiz scores between 6.9 and 8.9? Round your answer to one decimal place.

### 2 Answers

Relevance

- 6 months agoFavorite Answer
(8.9 - 7.9) / 0.5 = 1 / 0.5 = 2

(6.9 - 7.9) / 0.5 = -1 / 0.5 = -2

1 - 1/k^2

k = 2, because we're looking at values between 2 sd from the mean

1 - 1/2^2 =>

1 - 1/4 =>

3/4 =>

0.75

75%, at least, will be between 6.9 and 8.9

- Mike GLv 76 months ago
z(x=8.9) = 2

z(x=6.9) = -2

k = 2

Chebyshev's Theorem

1-1/k^2

1 - 1/2^2 = 0.75

Answer 75%

Still have questions? Get your answers by asking now.