Final answer:
The range of possible values for x likely refers to a range within two standard deviations of the mean in a normal distribution, which leads to an upper range limit of 62 (option D), provided the mean is 50 and the standard deviation is 6. The correct option is D.
Step-by-step explanation:
Given the information provided, it is necessary to correlate the details of the distributions and value ranges mentioned to determine the range of possible values for x. It seems that x represents a continuous random variable within a normal distribution, judging by the references to standard deviations and mean values.
From the guidelines, we can identify that about 95 percent of x values are within two standard deviations of the mean where the mean is 50 and the standard deviation is 6.
Hence, the range of possible x values falls between 38 and 62. This information points toward option D, 62, representing the upper bound within two standard deviations of the mean.
However, without a specific question or context, it is difficult to assert which range is being asked about. If the question pertains to the range within two standard deviations from the mean, then option D is correct, as the text provided refers to about 95 percent of x values lying between those markers. The correct option is D.