Question

given a set of data that is skewed - right, there is at least ____ % of the data within 2 standard deviations. fill in the blank with the best answer: 0 68 75 89 95 99.7

Explanation:

Chebyshev's theorem states that for any distribution (regardless of shape like skewed - right), the proportion of data within \(k\) standard deviations of the mean is at least \(1-\frac{1}{k^{2}}\). When \(k = 2\), we calculate \(1-\frac{1}{2^{2}}=1 - \frac{1}{4}=\frac{3}{4}=75\%\).

Answer:

C. 75