Final answer:
About 95 percent of the values lie between -2 and 2 standard deviations from the mean. Hence the correct answer is option B
Step-by-step explanation:
About 95 percent of the x values lie within two standard deviations of the mean. Therefore, about 95 percent of the x values lie between -12 and 12. The z-scores for 38 and 62 are -2 and +2, respectively.
The empirical rule, also known as the 68-95-99.7 rule, states that about 68 percent of values lie within one standard deviation, about 95 percent lie within two standard deviations, and about 99.7 percent lie within three standard deviations from the mean.
Hence the correct answer is option B