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 $1,000This 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 $500There 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
Answer:
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