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02 Aug 2019, 08:08
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The set Q has a mean of 31 and a standard deviation of 4. Which of the following pairs of numbers will decrease the standard deviation the most if they are added to the set?
A) {26, 36}
B) {27, 34}
C) {28, 42}
D) {30, 32}
E) {34, 34}
A) {26, 36}
B) {27, 34}
C) {28, 42}
D) {30, 32}
E) {34, 34}
02 Aug 2019, 08:23
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I got this wrong. Can anyone please post some resource for understanding this topic.
Regards,
Posted from my mobile device
Regards,
Posted from my mobile device
02 Aug 2019, 09:13
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The set Q has a mean of 31 and a standard deviation of 4. Which of the following pairs of numbers will decrease the standard deviation the most if they are added to the set?
This simple : We are given Mean(m)=31 ,deviation(d)=4
Now list numbers we can derive is
....m-2d,m-d,m,m+d,m+2d...etc
So ...23,27,31,35...
Now, any number close to the mean when added decreases the variation as much as possible ,the vice versa is also true
A) {26, 36}
This will increase the deviation as 26 and 36 is very far from mean (31)
B) {27, 34}
Same as in A
C) {28, 42}
Same as in A
D) {30, 32}
You notice that 32,30 are close to mean ,Hence this decreases the variation (correct)
E) {34, 34}
Nope increases deviation
Hence D
For in-depth understanding of statistics visit https://gmatclub.com/forum/statistics-m ... l#p1563176
Hope it helps
This simple : We are given Mean(m)=31 ,deviation(d)=4
Now list numbers we can derive is
....m-2d,m-d,m,m+d,m+2d...etc
So ...23,27,31,35...
Now, any number close to the mean when added decreases the variation as much as possible ,the vice versa is also true
A) {26, 36}
This will increase the deviation as 26 and 36 is very far from mean (31)
B) {27, 34}
Same as in A
C) {28, 42}
Same as in A
D) {30, 32}
You notice that 32,30 are close to mean ,Hence this decreases the variation (correct)
E) {34, 34}
Nope increases deviation
Hence D
For in-depth understanding of statistics visit https://gmatclub.com/forum/statistics-m ... l#p1563176
Hope it helps
sanjayparihar16
