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05 Sep 2018, 12:53
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Difficulty:
65%
(hard)
Question Stats:
36% (01:18) correct
64%
(01:22)
wrong
based on 28
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Richard took two tests. Did he score equal marks in both the tests?
(1) The standard deviation and the variance of the marks scored by Richard in the two tests are equal.
(2) The mean and the median of the marks scored by Richard in the two tests are equal.
(1) The standard deviation and the variance of the marks scored by Richard in the two tests are equal.
(2) The mean and the median of the marks scored by Richard in the two tests are equal.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
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05 Sep 2018, 17:13
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I just marked answer by guess and fortunately answer was correct. But I didn't understand the problem.
For a test, Richard will score certain marks that will be mean and median itself.
Could you elaborate the question and answer?
For a test, Richard will score certain marks that will be mean and median itself.
Could you elaborate the question and answer?
05 Sep 2018, 20:15
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Richard took two tests. Did he score equal marks in both the tests?
Most important info- there are only two numbers
(1) The standard deviation and the variance of the marks scored by Richard in the two tests are equal.
so SD and variance of two numbers is same..
what is the relation between SD and variance? : \(SD=\sqrt{V}\)
let SD be x, so \(x=\sqrt{x}.......x^2=x........x^2-x=0.........x(x-1)=0\)
so x can be 0 or 1
(2) The mean and the median of the marks scored by Richard in the two tests are equal.
Mean and median will always be SAME when we have two numbers
example
combined..
both cases still remain..
(40,40) and (40,42)
insuff
E
Most important info- there are only two numbers
(1) The standard deviation and the variance of the marks scored by Richard in the two tests are equal.
so SD and variance of two numbers is same..
what is the relation between SD and variance? : \(SD=\sqrt{V}\)
let SD be x, so \(x=\sqrt{x}.......x^2=x........x^2-x=0.........x(x-1)=0\)
so x can be 0 or 1
- If SD is 0, both numbers are same. example 40,40
If SD is 1, both number differ by 2, example 40,42
(2) The mean and the median of the marks scored by Richard in the two tests are equal.
Mean and median will always be SAME when we have two numbers
example
- 40,40 mean=median=40
40,42, mean=median=41
combined..
both cases still remain..
(40,40) and (40,42)
insuff
E
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
