Final answer:
The question is related to the Empirical Rule for normal distributions in statistics, intending to find the score range where approximately 68% of the data falls. However, the question is missing the standard deviation value, which is necessary to calculate the range.
Step-by-step explanation:
The question appears to reference the Empirical Rule or the 68-95-99.7 rule, which applies to normally distributed data. This rule states that approximately 68% of the data will fall within one standard deviation from the mean, 95% within two standard deviations, and 99.7% within three standard deviations.
Given that the mean test score is 82, to find the range where approximately 68% of the scores lie, we need to know the standard deviation. Assuming that the standard deviation is provided but not included in the question (perhaps the intended question included a standard deviation value), we would calculate:
Mean - Standard Deviation = Lower Bound
Mean + Standard Deviation = Upper Bound
Without the standard deviation, we cannot complete the answer to this question.