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Equally spaced positive integers with a variance \sigma^2

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RA911
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Equally spaced positive integers with a variance \sigma^2 [#permalink] New post   28 Sep 2021, 17:48
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a, b, c, and d are equally spaced positive integers with a variance \(\sigma^2\).
Quantity A
Quantity B
Variance of the set \(\frac{a}{10}, \frac{b}{10}, \frac{c}{10}, \frac{d}{10}\)
\(\frac{\sigma^2}{10}\)


A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
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B
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motion2020
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Equally spaced positive integers with a variance \sigma^2 [#permalink] New post   29 Sep 2021, 10:54
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Dividing each integer by a constant will require dividing the variance by the square of this constant

Hence, Quantity is B is 10 times more than Quantity A

Answer is \(B\)

RA911 wrote:
a, b, c, and d are equally spaced positive integers with a variance \(\sigma^2\).
Quantity A
Quantity B
Variance of the set \(\frac{a}{10}, \frac{b}{10}, \frac{c}{10}, \frac{d}{10}\)
\(\frac{\sigma^2}{10}\)


A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
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Equally spaced positive integers with a variance \sigma^2 [#permalink] New post   29 Sep 2021, 11:12
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RA911 wrote:
a, b, c, and d are equally spaced positive integers with a variance \(\sigma^2\).
Quantity A
Quantity B
Variance of the set \(\frac{a}{10}, \frac{b}{10}, \frac{c}{10}, \frac{d}{10}\)
\(\frac{\sigma^2}{10}\)


A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given


is the variance some sort of SD ?/ and is it tested on the GRE?

I have never seen a question in my entire life on the GRE with the word variance tested. Neither in the PP Plus.......

Just asking
Prep Club for GRE Bot
gmatclubot
Equally spaced positive integers with a variance \sigma^2 [#permalink]
29 Sep 2021, 11:12
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