a) Here is a Normal curve for the distribution of batting averages. The mean and the points one, two and three standard deviations from the mean are labeled.

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a) Here is a Normal curve for the distribution of batting averages. The mean and the points one, two and three standard deviations from the mean are labeled.

(b) Here is a curve showing the proportion of batting averages above Since is exactly two standard deviations above the mean, we know that about 95% of batting averages will be between and Since the curve is symmetric, half of the remaining 5%, or 2.5% should be above

(c) Here is a curve showing the proportion of batting averages between and We know that about 68% of batting averages are between and Also, we know that half of the difference between 95% and 68% should be between and Therefore, about 13.5% + 68% = 81.5% of batting averages will be between and

#3 A.The third quartile of 3 year old female heights is cm or (calc: 97.20). B.The median height of 3 year old females is 94.5 cm. C. The girl would rank in the 24 th percentile for height of 3 year old females. D. The girl is cm tall. E.The girl would rank in the 68 th percentile for height of 3 year old females. (Exact calc: 68.2)

#4 A. An IQ score of 150 is approximately the 95th percentile. B. About 22% of people aged have IQ scores between 125 and 150. C. In order to qualify for MENSA membership a person must score 162 or higher.