Question

question 12, question choose the answer that best describes the chebyshevs rule and fill in the blank with the appropriate percentage value. a. chebyshevs rule says that exactly % of the data values lie within three standard deviations to either side of the mean. b. chebyshevs rule says that at least % of the data values lie within three standard deviations to either side of the mean. c. chebyshevs rule says that approximately % of the data values lie within three standard deviations to either side of the mean. victoria crain hw score: 56.74%, 14.18 of 25 points points: 0 of 2 save

Explanation:

Chebyshev's rule states that at least $1 - \frac{1}{k^{2}}$ of the data values lie within $k$ standard - deviations of the mean. When $k = 3$, we have $1-\frac{1}{3^{2}}=1 - \frac{1}{9}=\frac{8}{9}\approx88.89\%\approx89\%$. Chebyshev's rule gives a lower - bound percentage of data within a certain number of standard deviations of the mean, not an exact or approximate value like in the normal distribution's empirical rule. So, Chebyshev's rule says that at least 89% of the data values lie within three standard deviations to either side of the mean.

Answer:

C. Chebyshev's rule says that at least 89% of the data values lie within three standard deviations to either side of the mean.