Jumphi97 wrote:

A is a set containing 7 different numbers. B is a set containing 6 different numbers, all of which are members of A. Which of the following statements CANNOT be true?

A) The range of A is equal to the range of B

B) The mean of A is greater than the mean of B

C) The range of A is less than the range of B

D) The mean of A is equal to the mean of B

E) The median of A is equal to the median of B

hi,

only C is not possible:

let say set A has : a== b== c== d== e== f== g==>these are 7 elements in ascending order(just think they are on the number line starting from left)

range =g-a(distance from a to g)

now for B we have select 6 elements from A...and have to leave 1 element.

Now for making B YOU HAVE TO remove any one....no wyou can clearly see if you remove any of the one b/c/d/e/f===>range is g-a==>same as set A's range.

if you remove g==>range is f-a==>clearly distance is less than g-a

if you remove a ==>range is g-b==>clearly distance is less than g-a

hence you can see range of set B is always less than or equal to range of set A

hope i made my point clear

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