Final answer:
Approximately 68 out of 200 values in a normal distribution with a mean of 50 and a standard deviation of 5 would be around 55, according to the empirical rule.
Step-by-step explanation:
In addressing the question regarding the normal distribution of 200 values with a mean of 50 and a standard deviation of 5, we must apply the empirical rule. Because 55 is one standard deviation above the mean, we refer to the rule that states approximately 68 percent of the values lie within one standard deviation from the mean. Given that the total number of values is 200, 68 percent of these equate to approximately 136 values. However, since the empirical rule gives us the percentage for values falling between one standard deviation below and above the mean, we only need half of this percentage to find the number of values about 55. Therefore, we divide 136 by 2 to get 68, indicating that approximately 68 values will be around 55. This aligns with answer 'c)' from the provided options.