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GRE Exam
Exhibit.

The variance of n numerical data x1, x2, x3, , , , , xn with the mean x is equal to
were S is the sum of the equal differences
for 
For the shares of stock purchased and then sold by the investors shown, the mean of the 5 numbers for Stock Y is 50 and the corresponding mean for Stock X is 70. The variance of the 5 numbers for Stock }' is what fraction of the corresponding variance for Stock X ?
A)

B)

C)

D)

E)

A divide between aesthetic and technical considerations has played a crucial role in mapmaking and cartographic scholarship. Some nineteenth-century cartographers, for instance, understood themselves as technicians who did not care about visual effects, while others saw themselves as landscape painters. That dichotomy structured the discipline of the history of cartography. Until the 1980s, in what Blakemore and Harley called "the 'Old is Beautiful' paradigm.* scholars largely focused on maps made before 1800. marveling at their beauty and sometimes regretting the decline of the pre-technical age. Early mapmaking was considered art while modem cartography was located within the realm of engineering utility. Alpers. however, has argued that this boundary would have puzzled mapmakers in the seventeenth century, because they considered themselves to be visual engineers.
According to the passage. Alpers would say that the assumptions underlying the "paradigm" were
The cube root of which of the following integers is equal to 