GMATinsight wrote:
Is the standard deviation of A less than the standard Deviation of Set B?
1) Sets A has three consecutive odd integers
2) Sets B has three consecutive Prime integers
Target question: Is the standard deviation of A less than the standard Deviation of Set B? Statement 1: Sets A has three consecutive odd integers There are several sets that satisfy statement 1. Here are two:
Case a: Set A = {1, 3, 5}, and Set B = {1, 10, 100}, in which case
the standard deviation of A less than the standard Deviation of Set BCase b: Set A = {1, 3, 5}, and Set B = {1, 1, 1}, in which case
the standard deviation of A greater than the standard Deviation of Set BSince we cannot answer the
target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: Set B has three consecutive Prime integers There are several sets that satisfy statement 2. Here are two:
Case a: Set A = {1, 1, 1}, and Set B = {2, 3, 5}, in which case
the standard deviation of A less than the standard Deviation of Set BCase b: Set A = {1, 10, 100}, and Set B = {2, 3, 5}, in which case
the standard deviation of A greater than the standard Deviation of Set BSince we cannot answer the
target question with certainty, statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined Consider the following cases that satisfy BOTH statements yet yield contradictory answers to the
target question:
Case a: Set A = {1, 3, 5}, and Set B = {7, 11, 13}, in which case
the standard deviation of A less than the standard Deviation of Set BCase b: Set A = {1, 3, 5}, and Set B = {2, 3, 5}, in which case
the standard deviation of A greater than the standard Deviation of Set BSince we cannot answer the
target question with certainty, the combined statements are NOT SUFFICIENT
Answer:
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