Final answer:
The range that encompasses 68% of scores for visitors at Royal Ranch Golf Paradise is likely to be Option A, between 64 and 112, as it includes the majority of scores in the 70-89 range and also accounts for the slightly lower and higher scores.
Step-by-step explanation:
To determine the range that encompasses 68% of scores for visitors at Royal Ranch Golf Paradise, we can refer to the principles of a normal distribution, often represented by a bell curve, where 68% of the data lies within one standard deviation of the mean. According to the information provided, most scores are between 70 and 89.
This range likely represents one standard deviation from the mean, encompassing the middle 68% of the data according to the empirical rule. Therefore, if we consider the highest and lowest possible ranges given in the options, we would select the range that includes 70 to 89 as the central portion, but also extends slightly beyond in both directions to account for lower and higher scoring ranges.
Option B, the range between 76 and 100, does not extend low enough to include the 60-69 range, which some scores fell into. Option D, the range between 64 and 100, does extend low enough but includes too high of a range which isn't supported by the statement that only a few scored in the 90-100 range.
Option C, the range between 76 and 112, extends far beyond 100, which we know only few scores have reached. Therefore, by process of elimination, the correct range that best suits the description given is Option A, between 64 and 112. This option includes scores in the 60-69 range and slightly extends beyond the 90-100 range.