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The standard deviation of a set of 5 different integers, eac
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06 Mar 2018, 13:58
06 Mar 2018, 13:58
Expert Reply
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00:00
Question Stats:
77% (00:26) correct
22% (00:09) wrong based on 101 sessions
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Quantity A |
Quantity B |
The standard deviation of a set of 5 different integers, each of which is between 0 and 10 |
The standard deviation of a set of 5 different integers, each of which is between 10 and 20 |
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Re: The standard deviation of a set of 5 different integers, eac
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06 Mar 2018, 14:13
06 Mar 2018, 14:13
Expert Reply
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Explanation
To find the standard deviation you would follow the below steps
1) Find the average (mean) of the set.
2) Find the differences between each element of the set and that average.
3) Square all the differences and take the average of the differences. This gives you the variance.
4) Take the square root of the variance.
Knowing this and performing the calculation is a bit cumbersome. However, picking numbers according to the stems should suddenly pop in your head that the answer is D.
Quantity A Picking 1, 2 , 3 , 4 , 5
Quantity B Picking 19, 18, 17, 16, 15
It is clearly different the SD. Any combination of other numbers will lead you to equal Sd or different.
This is a classic time-consuming question that you should solve more with your logic and common sense.
To find the standard deviation you would follow the below steps
1) Find the average (mean) of the set.
2) Find the differences between each element of the set and that average.
3) Square all the differences and take the average of the differences. This gives you the variance.
4) Take the square root of the variance.
Knowing this and performing the calculation is a bit cumbersome. However, picking numbers according to the stems should suddenly pop in your head that the answer is D.
Quantity A Picking 1, 2 , 3 , 4 , 5
Quantity B Picking 19, 18, 17, 16, 15
It is clearly different the SD. Any combination of other numbers will lead you to equal Sd or different.
This is a classic time-consuming question that you should solve more with your logic and common sense.
Re: The standard deviation of a set of 5 different integers, eac
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24 Dec 2024, 23:58
24 Dec 2024, 23:58
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
