lazarogb wrote:In a recent survey, twenty families reported their incomes for 1995. Was the range of reported 1995 incomes for these families greater than $60,000?
1) Thirteen of the reported incomes were between $20,000 and $35,000.
2) Seven of the reported incomes were between $80,000 and $95,000.
CONCEPT: Range = Biggest element of the set - Smallest element of the set
Question : Was the range of reported 1995 incomes for these families greater than $60,000?
Question Rephrased: Was (Maximum Income - Minimum Income) > $60,000 ?
Statement 1) Thirteen of the reported incomes were between $20,000 and $35,000.
No information about the specific Maximum and minimum Income, Therefore
NOT SUFFICIENT
Statement 2) Seven of the reported incomes were between $80,000 and $95,000.
No information about the specific Maximum and minimum Income, Therefore
NOT SUFFICIENT
Combining the two statements
Case 1:
Highest possible Income = $95,000
Lowest possible Income = $20,000
i.e. Range = $75,000
> $60,000
Case 2:
Another Possible Highest Income = $80,000
Another Possible Lowest Income = $30,000
i.e. Range = $50,000
< $60,000
Inconsistent Answer, Therefore,
NOT SUFFICIENT
Answer: Option
E
