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Re: What is the standard deviation of 3 products’ prices?
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18 Nov 2016, 06:41
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MathRevolution wrote:
What is the standard deviation of 3 products’ prices?
1) The sum of any two prices of these 3 products is $1,000 2) At least one of them is $500
Target question:What is the standard deviation of 3 products’ prices?
NOTE: With questions involving standard deviation, the test-makers often like to test our knowledge of the fact that, if all of the values in a set are EQUAL, then the standard deviation of that set is ZERO.
Statement 1: The sum of any two prices of these 3 products is $1,000 This tells us that the price of EACH product is $500 In other words, the 3 prices must be $500, $500 and $500 Since all 3 values are equal, the standard deviation of 3 products’ prices is ZERO Since we can answer the target question with certainty, statement 1 is SUFFICIENT
Statement 2: At least one of them is $500 There are several possible scenarios that satisfy statement 2. Here are two: Case a: the prices are $500, $500 and $500, in which case the standard deviation of 3 products’ prices is ZERO Case b: the prices are $1, $500 and $1,000,000, in which case the standard deviation of 3 products’ prices is NOT zero Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT
Re: What is the standard deviation of 3 products’ prices?
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21 Nov 2016, 02:00
==> In the original condition, there are 3 variables. Therefore, E is most likely to be the answer. For con 1), the sum of any 2 prices of the products is always 1,000, so if you add the three equations a+b=1,000, b+c=1,000, and c+a=1,000 together, you get 2(a+b+c)=3,000 and a+b+c=1,500 each, and using substitution, a=b=c=500. Thus, the standard deviation is 0, hence it is sufficient. Therefore, the answer is A. This question is CMT 4 (A).
Re: What is the standard deviation of 3 products’ prices?
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01 Oct 2018, 04:17
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59% (00:55) correct 
