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sandeepkotla
If 2 elements are dropped from setA {-18, -10, 0, 8, 10} what will be the % change in mean.
1) Median of the set remains same
2) The range of the set will decrease by 2

the Answer option given in my material is: Data insufficient

But I think the 1 and 2 are together important.

Reason:
Initial median is 0
Initial range: 28
Initial mean: -2
Statement 1: median doesnt change.
So median is still 0

Statement 2:
Range decreases by 2.
So -10 and 10 on either side of median are eliminated keeping Median "0" unchanged.
New set A1{-18,0,8}
New mean: -10/3
hence % change can be calculated.

WHERE AM I GOING WRONG?

it should be c.
a. it is insuff. as we will get two sets.
{-18, -10, 0, 8, 10}
eliminate- 10 and -10 . we will get set as { -18,0 ,8}
eliminate 8 and -18. we will get {-10 ,0 ,10}

b.
range chnages by 2.
1. eliminate 10 and -10.set { -18,0,8} .
2. eiminate 0 and 10 set { -18 ,-10,8}
insuff.

combing both only possible solution is { -18,0,8}.
So C.
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sandeepkotla
If 2 elements are dropped from setA {-18, -10, 0, 8, 10} what will be the % change in mean.
1) Median of the set remains same
2) The range of the set will decrease by 2

the Answer option given in my material is: Data insufficient

But I think the 1 and 2 are together important.

Reason:
Initial median is 0
Initial range: 28
Initial mean: -2
Statement 1: median doesnt change.
So median is still 0

Statement 2:
Range decreases by 2.
So -10 and 10 on either side of median are eliminated keeping Median "0" unchanged.
New set A1{-18,0,8}
New mean: -10/3
hence % change can be calculated.

WHERE AM I GOING WRONG?

Check here: if-two-elements-are-dropped-from-set-x-128785.html

ALSO, PLEASE READ CAREFULLY AND FOLLOW: rules-for-posting-please-read-this-before-posting-133935.html THANK YOU.



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