Answer :
Final answer:
In a normally distributed data set, 99.7 percent of values lie within three standard deviations from the mean.
Explanation:
The question is asking about the percentage of values within three standard deviations from the mean in a normally distributed data set. The Empirical Rule, which applies to normally distributed data, states that approximately 68 percent of the data is within one standard deviation of the mean, about 95 percent is within two standard deviations, and 99.7 percent is within three standard deviations.
Therefore, the answer to the question is 99.7 percent of the values lie within three standard deviations from the mean, which corresponds to option d. 99.7.
