Answer :
Final answer:
The range of the middle 68% of SAT scores for the class of 2007, which follows a normal distribution, is from 1317 to 1705, using one standard deviation from the mean.
Explanation:
The student is asking about the range of the middle 68% of SAT scores for the class of 2007, which corresponds to one standard deviation on either side of the mean in a normal distribution.
In statistics, it is widely known that for a normal distribution, about 68% of the data falls within one standard deviation of the mean. Given that the mean SAT score for 2007 was 1511 and the standard deviation was 194, we can calculate the range for the middle 68% of SAT scores.
To calculate the lower limit of the range, subtract the standard deviation from the mean:
1511 - 194 = 1317
For the upper limit, add the standard deviation to the mean:
1511 + 194 = 1705
So, the range of the middle 68% of SAT scores for the class of 2007 was roughly between 1317 and 1705.
Learn more about Normal Distribution and SAT Scores here:
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