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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)

The following appeared in a letter from the owner of the Sunnyside Towers apartment complex to its manager.
"Last week, all the showerheads in the first three buildings of the Sunnyside Towers complex were modified to restrict maximum water flow to one-third of what it used to be. Although actual readings of water usage before and after the adjustment are not yet available, the change will obviously result in a considerable savings for Sunnyside Corporation, since the corporation must pay for water each month. Except for a few complaints about low water pressure, no problems with showers have been reported since the adjustment. Clearly, modifying showerheads to restrict water flow throughout all twelve buildings in the Sunnyside Towers complex will increase our profits further."
Write a response in which you examine the stated and or unstated assumptions of the argument. Be sure to explain how the argument depends on these assumptions and what the implications are for the argument if the assumptions prove unwarranted.
The following appeared in a memo from the president of Bower Builders, a company that constructs new homes.
"A nationwide survey reveals that the two most-desired home features are a large family room and a large, well-appointed kitchen. A number of homes in our area built by our competitor Domus Construction have such features and have sold much faster and at significantly higher prices than the national average. To boost sales and profits, we should increase the size of the family rooms and kitchens in all the homes we build and should make state-of-the-art kitchens a standard feature. Moreover, our larger family rooms and kitchens can come at the expense of the dining room, since many of our recent buyers say they do not need a separate dining room for family meals."
Write a response in which you examine the stated and or unstated assumptions of the argument. Be sure to explain how the argument depends on these assumptions and what the implications are for the argument if the assumptions prove unwarranted.