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What is the order of the Standard Deviation, from greatest
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15 Oct 2017, 22:54
15 Oct 2017, 22:54
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What is the order of the Standard Deviation, from greatest to least, of the following three sets?
I. 78, 79, 80, 81, 81
II. 11, 14, 14, 15.5, 17
III. 1.4, 3.9, 7.1, 9.8
(A) I, II, III
(B) II, I, III
(C) III, I, II
(D) III, II, I
(E) None of the above
Kudos for correct solution.
I. 78, 79, 80, 81, 81
II. 11, 14, 14, 15.5, 17
III. 1.4, 3.9, 7.1, 9.8
(A) I, II, III
(B) II, I, III
(C) III, I, II
(D) III, II, I
(E) None of the above
Kudos for correct solution.
Re: What is the order of the Standard Deviation, from greatest
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15 Oct 2017, 23:34
15 Oct 2017, 23:34
Using a bit of intuition, it is clear that the most spread away numbers are those of list III so that it is the one with the highest standard deviation. Thus, we remain with choices C, D, E.
Then, we could easily exclude E, since in order to compute the standard deviation it is enough to have the numbers of the set, thus the comparison is possible.
Now, comparing C and D we can compute the mean and look at the deviation in an approximate way: then, list I has a mean of 79.8, while list II has a mean of 14.3. Thus list II seems more spread around the mean. Or, if we have time, we can compute an approximate sd to confirm our first insight: list I has a approx sd of (1.8+0.8+0.2+1.2+1.2)/5= 1.04, while list II has an approx sd of (3.3+0.3+0.3+1.2+2.7)/5 = 1.56.
To conclude, the order is III, II, I. Answer D
Then, we could easily exclude E, since in order to compute the standard deviation it is enough to have the numbers of the set, thus the comparison is possible.
Now, comparing C and D we can compute the mean and look at the deviation in an approximate way: then, list I has a mean of 79.8, while list II has a mean of 14.3. Thus list II seems more spread around the mean. Or, if we have time, we can compute an approximate sd to confirm our first insight: list I has a approx sd of (1.8+0.8+0.2+1.2+1.2)/5= 1.04, while list II has an approx sd of (3.3+0.3+0.3+1.2+2.7)/5 = 1.56.
To conclude, the order is III, II, I. Answer D
Re: What is the order of the Standard Deviation, from greatest
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09 Dec 2024, 15:11
09 Dec 2024, 15:11
Hello from the GRE Prep Club BumpBot!
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).
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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.
