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Please advise, I don't quite get the question, all of the answer choices except 5.0 cannot be the number added because we know the exact value of the new number added..

the option is A because we know that the new median is 5 after adding one more number to the series 2, 3, 5, 7 (even terms). After you add one more term lets say x to the series, we get odd terms so the term in between is the median of the given numbers and that is possible only when the number added is greater than or equal to 5 so that the terms in ascending order become 2,3,5,5,7 or 2,3,5,x,7 or 2,3,5,7,x in all these cases the median is 5 but if the term is less than 5 i.e. 4.8 then we get 2,3,4.8,5,7 and hence 4.8 becomes the median.

So the only term that cannot be added for the median to be 5 is 4.8 i.e. option A.

the option is A because we know that the new median is 5 after adding one more number to the series 2, 3, 5, 7 (even terms). After you add one more term lets say x to the series, we get odd terms so the term in between is the median of the given numbers and that is possible only when the number added is greater than or equal to 5 so that the terms in ascending order become 2,3,5,5,7 or 2,3,5,x,7 or 2,3,5,7,x in all these cases the median is 5 but if the term is less than 5 i.e. 4.8 then we get 2,3,4.8,5,7 and hence 4.8 becomes the median.

So the only term that cannot be added for the median to be 5 is 4.8 i.e. option A.

Nice explanation...It is A with the same explanation.
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The wording of this question is VAGUE because "a set consisting of all one-digit prime integers" could be

( 2, 2, 2, 2, 2) or (3,5,5,5,2,7,7,7) or (3) or (3,5) or (5,5,5) etc....

It should say "a set consisting of all unique one-digit prime integers" or just add the word "the" as in the "a set consisting of all of THE one-digit prime integers". This would limit the set to (2,3,5,7) which is the intention of the question.
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The wording of this question is VAGUE because "a set consisting of all one-digit prime integers" could be

( 2, 2, 2, 2, 2) or (3,5,5,5,2,7,7,7) or (3) or (3,5) or (5,5,5) etc....

It should say "a set consisting of all unique one-digit prime integers" or just add the word "the" as in the "a set consisting of all of THE one-digit prime integers". This would limit the set to (2,3,5,7) which is the intention of the question.