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

ID: 3063122 • Letter: B

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. Between what values do the IQ scores of 68% of all rural Midwest seventh-graders lie? The middle 68% of IQs is between a lower value of and an upper value of . 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. Between what values do the IQ scores of 68% of all rural Midwest seventh-graders lie? The middle 68% of IQs is between a lower value of and an upper value of . 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. Between what values do the IQ scores of 68% of all rural Midwest seventh-graders lie? The middle 68% of IQs is between a lower value of and an upper value of .

Explanation / Answer

mean= 111 and standard deviation= 11

According to 68-95-99.7 emperical rule

IQ scores of 68% of all rural midwest seventh graders lie

lower limit = 111-11= 100

Upper limit= 111+11= 122

S0 68% of IQ scores lie between (100 and122)

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