Lawrence Summers (former secretary of the treasury and former president of Harvard) infamously claimed that women have a lower standard deviation IQ than men. He went on to suggest that this was a potential explanation as to why there are fewer women in top math and science positions. Suppose an IQ of 145 or higher is required to be a researcher at a top-notch research institution. Use the idea of standard deviation, the Empirical Rule, and the fact that the mean and standard deviation IQ of humans is 100 and 15, respectively, to explain Summers’ argument.
Answer to relevant QuestionsIn December 2010, the average price of regular unleaded gasoline excluding taxes in the United States was $3.06 per gallon, according to the Energy Information Administration. Assume that the standard deviation price per ...Another measure of variation is the mean absolute deviation. It is computed using the formula Compute the mean absolute deviation of the data in Problem 11 and compare the results with the sample standard deviation. Draw two histograms with different standard deviations and label them I and II. Which histogram has the larger standard deviation? Use the frequency distribution whose class width is 0.5 obtained in Problem 37 in Section 2.2 to approximate the mean and standard deviation for cigarette tax rate& Comparel these results to the actual mean and standard ...Approximate the median of the frequency distribution in Problem 2. Square Footage .... Frequency 0-499 .......... 5 500-999 ........ 17 1000-1499 ....... 36 1500-1999 ....... 121 2000-2499 ...... 119 2500-2999 ...
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