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If after a number was added to a set consisting of all distinct one-digit prime integers, the median of the set grew by 25%, which of the following cannot be the value of the number added?

Can someone explain? I may be misreading the question, but it does not say the set consists of all the signle digit prime numbers with no repeats. From the way it is worded: A number was added to a set that consists of single digit prime integers, couldn't that mean that {2,2,2,2,2} is an example of one such set, so is {7,7,7}?

I reasoned the lowest possible current median is 2 (if all 2's) and the highest possible current median is 7 (set of all 7's) so the new median would be between 2.5 and 8.75 (it does not say the number added had to be an integer) ...is this just a poorly worded question or am I reading too mcuh into it? Thanks

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It can't be all 2's or anything because it means that the set has "all the 1 digit prime nos." At least that is how I immediately interpreted it. I'd suggest don't go into semantics it can get confusing when it isn't.
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If after a number was added to a set consisting of all one-digit prime integers, the median of the set grew by 25%, which of the following cannot be the value of the number added?

A)4.8 B)5.0 C) \(\sqrt{29}\) D)7.7 E)49/4

Explanation: The original set was (2,3,5,7), Its median was 4. The median of the new set is 4*1.25 =5 [b]Thus, the number added cannot be less than 5.

[/b]

Hi Bunuel,

Got the above question today....I guessed this one and moved on

Can you elaborate the part in red...
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If after a number was added to a set consisting of all one-digit prime integers, the median of the set grew by 25%, which of the following cannot be the value of the number added?

A)4.8 B)5.0 C) \(\sqrt{29}\) D)7.7 E)49/4

Explanation: The original set was (2,3,5,7), Its median was 4. The median of the new set is 4*1.25 =5 [b]Thus, the number added cannot be less than 5.

[/b]

Hi Bunuel,

Got the above question today....I guessed this one and moved on

Can you elaborate the part in red...

For the median of {2, 3, 5, 7, x} to be 5 (5 to be the middle term), x must be greater than or equal to 5. If x is less than 5, the median would also be less than 5.

Got this question today and was confused that the stem does not limit the possibility of repeating the numbers in set, so median of the original set is not limited to 3+5=4. Do I understand the stem wrong?

Got this question today and was confused that the stem does not limit the possibility of repeating the numbers in set, so median of the original set is not limited to 3+5=4. Do I understand the stem wrong?

Added word "distinct" there to avoid confusion: "If after a number was added to a set consisting of all distinct one-digit prime integers, the median of the set grew by 25%, which of the following cannot be the value of the number added?"

For the median of {2, 3, 5, 7, x} to be 5 (5 to be the middle term), x must be greater than or equal to 5. If x is less than 5, the median would also be less than 5.

Old set: {2, 3, 5, 7}. New set: {2, 3, 5, 7, x}. x must greater than or equal to 5, for the median to be 5.

For example, if x=7.7, then the set is {2, 3, 5, 7, 7.7} --> median = 5.

For the median of {2, 3, 5, 7, x} to be 5 (5 to be the middle term), x must be greater than or equal to 5. If x is less than 5, the median would also be less than 5.

Old set: {2, 3, 5, 7}.

New set: {2, 3, 5, 7, x}. x must greater than or equal to 5, for the median to be 5.

For example, if x=7.7, then the set is {2, 3, 5, 7, 7.7} --> median = 5.

Hope it's clear.

I messed up this with average..noob me
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