Question: 3.41 Normal is only approximate: IQ test scores. The fol lowing lists give the IQ test scores of 31 seventh-grade girls in a Midwest school

3.41 Normal is only approximate: IQ test scores. The fol lowing lists give the IQ test scores of 31 seventh-grade girls in a Midwest school district.^

114 100 104 89 102 91 114 114 103 105 108 130 120 132 111 128 118 119 86 72 111 103 74 112 107 103 98 96 112 112 93

(a) We expect IQ scores to be approximately Normal. Make a stemplot to check that there are no major departures from Normality.

(b) Nonetheless, proportions calculated from a Normal distri bution are not always very accurate for small numbers of obser vations. Find the mean x and standard deviation s for these IQ scores. What proportions of the scores are within one standard deviation and within two standard deviations of the mean?

What would these proportions be in an exactly Normal dis tribution?

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