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21 Mar 2022, 03:45
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
54% (02:07) correct
46%
(02:09)
wrong
based on 340
sessions
History
Date
Time
Result
Not Attempted Yet
Set T consists of five integers: the first five odd prime numbers when counting upward from zero. This gives set T a standard deviation of approximately 3.71. Which of the following values, if added to the set T, would increase the standard deviation of set T?
A. 11
B. 9
C. 7.8
D. 4.15
E. 3.7
Are You Up For the Challenge: 700 Level Questions
A. 11
B. 9
C. 7.8
D. 4.15
E. 3.7
Are You Up For the Challenge: 700 Level Questions
21 Mar 2022, 18:09
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Bunuel
Statistics:
The first five odd primes are 3, 5, 7, 11, and 13. The mean of these numbers is \(\frac{3 + 5 + 7 + 11 + 13}{5} = \frac{39}{5} \approx 8\).
The educated guess would be that we want a number far away from the mean 8 in order to increase the standard deviation. Choice E is the furthest number from 8, so that is the answer.
The more in-depth answer is, on average, the numbers are roughly 3.71 away from the mean, and we want a number that is at least 3.71 away from 8 in order to increase the standard deviation. The highest choice is 11, so that is not high enough, but we can go low enough with choice E. Adding another value changes the mean itself, however, so we need to recalculate the mean for the new standard deviation, and choice D turns out to not be low enough since it lowers the mean itself.
Answer: E
09 Nov 2024, 05:07
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The concept to employ is that if the number is within one standard deviation of the mean it will shrink the spread of the data set, so our answer should be outside that range.
mean = 7.8
Range
4.09 < 7.8 < 11.51
The only number outside the range is 3.7 so answer is E
Adewale Fasipe, GMAT quant instructor from Lagos Nigeria.
mean = 7.8
Range
4.09 < 7.8 < 11.51
The only number outside the range is 3.7 so answer is E
Adewale Fasipe, GMAT quant instructor from Lagos Nigeria.
