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24 Dec 2024, 06:19
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PriyankaGmatIMD, in statement 1 it is given that median is 50 and range is 50; now total nos are 50, so median will be the avg of 25th and 26th;
PriyankaGmatIMD, in statement 1 it is given that median is 50 and range is 50; now total nos are 50, so median will be the avg of 25th and 26th; and it also provided that range is 50; so max - min = 50;
now lets take extreme conditions for the 25th and 26th place. 49+51; 0+100;
Here, 49+51: Till now the range is 51-49=2, however, for 0+100: range would be 100-0=100;
in view of the above, 49+51; would have margin for the range;
24 integers than 25th and 26th than 24 integers;
so the min int would be 25 and maximum would be 75;
do remember the statement has provided that all the integers are different, if they would be same then their would be multiple maximum and minimum.
PriyankaGmatIMD, in statement 1 it is given that median is 50 and range is 50; now total nos are 50, so median will be the avg of 25th and 26th; and it also provided that range is 50; so max - min = 50;
now lets take extreme conditions for the 25th and 26th place. 49+51; 0+100;
Here, 49+51: Till now the range is 51-49=2, however, for 0+100: range would be 100-0=100;
in view of the above, 49+51; would have margin for the range;
24 integers than 25th and 26th than 24 integers;
so the min int would be 25 and maximum would be 75;
do remember the statement has provided that all the integers are different, if they would be same then their would be multiple maximum and minimum.
24 Dec 2024, 06:42
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PriyankaGmatIMD
Yes numbers could be anything but for median to be 50, the two numbers which you select whose average is 50, should be your middle two numbers in a sorted set of 50 integers. So let’s say if you pick 0 and 100 to be your middle two integers in your sorted set whose average is 50 then you still need to select 24 integers which are smaller than 0 and 24 integers which are greater than 0 to make it to a total of 50 integer set. So let’s suppose this is your set (-24,-23,-22,......,-1,0,100,101,.......,122,123,124), now if you calculate the range of highest - lowest for this set, it would be 124-(-24) = 148 which is greater than 50 which is a constraint in statement 1. For range (highest - lowest numbers in the set) to be 50, you won’t be able to find any other combination of 50 integers except the one mentioned before.
24 Dec 2024, 08:00
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December 24th Quant Question of the Day
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