Non-Empty Set

[mmslf75]

Is the range of a non-empty set bigger than its mean?

1)All members of are negative
2)The median of set is negative


OA D


What does NON-EMPTY set mean ??


By the way is this question actually a sort of theorem /definition ??

[Lattefah84]

Is the range of a non-empty set bigger than its mean?

1)All members of are negative
2)The median of set is negative


OA D


What does NON-EMPTY set mean ??


By the way is this question actually a sort of theorem /definition ??

that it's not empty ?


(sorry)


I don't know actually, it sounds weird...

[satish.nagdev]

Is the range of a non-empty set bigger than its mean?

1)All members of are negative
2)The median of set is negative


OA D


What does NON-EMPTY set mean ??


By the way is this question actually a sort of theorem /definition ??

that it's not empty ?


(sorry)


I don't know actually, it sounds weird...

question is not weird, you've answered correctly in a way that it's not empty.
set theory basics - non empty set S contains elements e.g. S={1,2,4,100...}

here in question
stmt 1 > take a set of random negative numbers say S={-1,-2,-3,-4-5} for simplicity

Range = max term - min term = -5 -(-1) = -4
mean = sum of terms / number of terms = -15/5 = -3

I tried few combinations Range was lower than mean (i.e. you can answer question as no)

stmt 2 - for median, sort the set elements in ascending order of value, if number of terms = odd then middle term is median, if number of terms is even then median = avg. of middle 2 terms

and median is negative if terms of set are negative, hence it will be repeat of stmt1 hence you can answer question using individual stmts.

[mehravikas]

You have calculated it correctly but I think you have made a mistake the max term in the set below will be -1 not -5, -5 should be the lowest term and the range will be greater than the mean.

Same for statement 2.

here in question
stmt 1 > take a set of random negative numbers say S={-1,-2,-3,-4-5} for simplicity

Range = max term - min term = -5 -(-1) = -4
mean = sum of terms / number of terms = -15/5 = -3

I tried few combinations Range was lower than mean (i.e. you can answer question as no)

[satish.nagdev]

yep right thanks Vikas