Below is a stemplot of the IQ test scores of 74 seventh-grade students. Stem Lea

Question

Below is a stemplot of the IQ test scores of 74 seventh-grade students. Stem Leaf 8 6 9 9 0 1 3 3 9 6 7 7 8 10 0 0 2 2 3 3 3 3 4 4 10 5 5 5 6 6 6 7 7 7 7 8 9 11 0 0 0 0 1 1 1 1 2 2 2 2 3 3 3 4 4 4 4 11 5 5 6 8 8 9 9 9 12 0 0 3 3 4 4 12 6 7 7 8 8 8 13 0 2 13 6 This distribution is very close to Normal; the mean is approximately 111 and the standard deviation is approximately 11. It includes all the seventh-graders in a rural Midwest school except for four low outliers who were dropped because they may have been ill or otherwise not paying attention to the test. Take the Normal distribution with mean 111 and standard deviation 11 as a description of the IQ test scores of all rural Midwest seventh-grade students. Use this distribution and the 68–95–99.7 rule to answer the following question. What percentage of IQ scores for rural Midwest seventh-graders are more than 100? 1 % Below is a stemplot of the IQ test scores of 74 seventh-grade students. Stem Leaf 8 6 9 9 0 1 3 3 9 6 7 7 8 10 0 0 2 2 3 3 3 3 4 4 10 5 5 5 6 6 6 7 7 7 7 8 9 11 0 0 0 0 1 1 1 1 2 2 2 2 3 3 3 4 4 4 4 11 5 5 6 8 8 9 9 9 12 0 0 3 3 4 4 12 6 7 7 8 8 8 13 0 2 13 6 This distribution is very close to Normal; the mean is approximately 111 and the standard deviation is approximately 11. It includes all the seventh-graders in a rural Midwest school except for four low outliers who were dropped because they may have been ill or otherwise not paying attention to the test. Take the Normal distribution with mean 111 and standard deviation 11 as a description of the IQ test scores of all rural Midwest seventh-grade students. Use this distribution and the 68–95–99.7 rule to answer the following question. What percentage of IQ scores for rural Midwest seventh-graders are more than 100? 1 % Below is a stemplot of the IQ test scores of 74 seventh-grade students. Stem Leaf 8 6 9 9 0 1 3 3 9 6 7 7 8 10 0 0 2 2 3 3 3 3 4 4 10 5 5 5 6 6 6 7 7 7 7 8 9 11 0 0 0 0 1 1 1 1 2 2 2 2 3 3 3 4 4 4 4 11 5 5 6 8 8 9 9 9 12 0 0 3 3 4 4 12 6 7 7 8 8 8 13 0 2 13 6 This distribution is very close to Normal; the mean is approximately 111 and the standard deviation is approximately 11. It includes all the seventh-graders in a rural Midwest school except for four low outliers who were dropped because they may have been ill or otherwise not paying attention to the test. Take the Normal distribution with mean 111 and standard deviation 11 as a description of the IQ test scores of all rural Midwest seventh-grade students. Use this distribution and the 68–95–99.7 rule to answer the following question. What percentage of IQ scores for rural Midwest seventh-graders are more than 100? 1 %

Explanation / Answer

The percentage of IQ scores greater than 100 is 34.13%+34.13%+13.59%+2.15%+0.13%= 84.13%= 0.8413

percentage of IQ scores for rural Midwest seventh-graders are more than 100 is 84.13%

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