If there were 3 performances, is the average of people that

Question

If there were 3 performances, is the average of people that attended these performances equal to the median?

(1) the median of the number of attended is 425
(2) the range is 25

Bluebird · Answer

My answer is C

  tells us that the median is 425, which means it is the middle number of the 3 attendance 3 #s. However, this gives us no clue as to the range of the attendance, therefore, insufficient.

  tells us the range, but what does that range cover? 1-25? 25-50? Insufficient.

  putting both stmts together we see that the range is between 401 and 449, of which 425 is the median. Therefore it is sufficient to answer the question.

By the way, the answer is yes, the median=mean.

Himalayan · Answer

E. what is 425, 425, 450 and 413, 425 and 437. 

NSF.

vijay2001 · Answer

Answer is C

But contrary to what is mentioned in the earlire post  Mean is not equal to Median

bewakoof · Answer

E..

425 425 450.. range = 25 and median = 425..

424 425 449 range = 25.. median = 425

PS: My bad answer should be C.. I just understood Vijay's point ..

Himalayan · Answer

interesting! can anybody explain how is that?

LM · Answer

Answer should be "E"

it can be; 425,425,and 425 ( YES )

425,425,and 450 ( NO )

400,425,and 425 ( NO )

grad_mba · Answer

Answer  B 

median cannot be equal to average when range is 25 in this scenario.

Since we are dealing number of people which cannot be a fraction.

LM · Answer

Both of your statements say that MEAN IS NOT EQUAL TO MEDIAN, then answer should be D

LM · Answer

OKAYYY guys!!! After lots of thinking...PLEASE remember this as a RULE...

odd number of integers can't have mean equal to median if the range is odd integer  
 

Therefore answer is B

Caas · Answer

That's because AP with 3 members can't have an odd range
Median = average if we deal with AP

Jamesk486 · Answer

yes the OA is B..but 
what do you mean by
"That's because AP with 3 members can't have an odd range 
Median = average if we deal with AP "

Caas · Answer

Arithmetical Progression A(n+1) = An + k where k is constant in such series mean=meadian this might be interesting for you https://www.gmatclub.com/phpbb/viewtopic ... cf3fd59285

Jamesk486 · Answer

thanks, but how do you know its an arithmetic progression?

Caas · Answer

I know that it is NOT the AP, and hence, mean does not equal median.
We have 3 numbers and range 25.
Take examples of ap:
1 2 3 RANGE 2 - even
10 20 30 range 20 even
5 10 15 range 10 even and so on
So if there are 3 numbers abd range is odd then it is not an AP

If there were 3 performances, is the average of people that

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