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Answer :
Final answer:
To fill in the normal curve using the mean and standard deviation, we can use the empirical rule. Option a. 68−95−99.7 is the correct choice.
Explanation:
To fill in the normal curve, we can use the empirical rule, also known as the 68-95-99.7 rule. This rule states that approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.
Given a mean of 95 and a standard deviation of 12, we can calculate the values for each option:
a. 68-95-99.7: The mean plus/minus one standard deviation is 83-107
b. 95-99-99.9: The mean plus/minus two standard deviations is 71-119
c. 87-95-103: The mean plus/minus one standard deviation is 75-115
d. 83-95-107: The mean plus/minus one standard deviation is 71-119
Thus, the answer is option a. 68−95−99.7.
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