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What is the standard deviation of the terms in set N?

SD of set N.

(1) Every prime number in a specific range appears exactly once in set N.
Clearly not sufficient. We have unlimited prime number. So we don't know regarding the number of terms in the list.
Not sufficient.

(2) All terms in set N range between 20 and 50.
Let us take a example , { 30,30,30,30,30}
30 lies in the range of 20 to 50.
SD of the above set = 0

Let us take another example within the same range { 32,34,36,38,40}
SD of set approx. =2.4

Clearly conflicting answers
Not sufficient.

Combining both statements.
Prime number comes exactly once and lies in the range of 20 to 50.
List of prime numbers in the given range {23,29,31,37,41,43,47}
Well now we have a fixed set of elements
We have some fixed value of SD.
Sufficient.

IMO C
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What is the standard deviation of the terms in set N?

SD of set N.

(1) Every prime number in a specific range appears exactly once in set N.
Clearly not sufficient. We have unlimited prime number. So we don't know regarding the number of terms in the list.
Not sufficient.

(2) All terms in set N range between 20 and 50.
Let us take a example , { 30,30,30,30,30}
30 lies in the range of 20 to 50.
SD of the above set = 0

Let us take another example within the same range { 32,34,36,38,40}
SD of set approx. =2.4

Clearly conflicting answers
Not sufficient.

Combining both statements.
Prime number comes exactly once and lies in the range of 20 to 50.
List of prime numbers in the given range {23,29,31,37,41,43,47}
Well now we have a fixed set of elements
We have some fixed value of SD.
Sufficient.

IMO C

What if the set also includes composite numbers?
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target what is SD of set N
#1
Every prime number in a specific range appears exactly once in set N.
no info about set range of numbers insufficient
#2
All terms in set N range between 20 and 50.
no info whether all the numbers between 20 and 50 are there or is it a set a specific numbers ( odd, even , prime etc )
insufficient
from 1 &2
we cannot conclusively say that the set N has only prime numbers or it has prime numbers + other numbers from 21 to 49 or numbers in any other order

insufficient
option E is correct ..

Bunuel
What is the standard deviation of the terms in set N?

(1) Every prime number in a specific range appears exactly once in set N.

(2) All terms in set N range between 20 and 50.


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