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.If x and y are two variables related as 2x + 5y = 100 and XM = 30 then
median of y = YM is
(a) 10 (b) 8 (c) 15 (d) None?
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.If x and y are two variables related as 2x + 5y = 100 and XM = 30 the...
Understanding the Equation
The relationship between x and y is given by the equation:
- 2x + 5y = 100
To find the values of y in terms of x, we can rearrange this equation:
- 5y = 100 - 2x
- y = (100 - 2x) / 5
Finding the Value of Y when XM = 30
In this scenario, it is stated that XM = 30. It is important to clarify whether XM refers to the value of x. Assuming XM = x, we can substitute x = 30 into the equation we derived for y:
- y = (100 - 2(30)) / 5
- y = (100 - 60) / 5
- y = 40 / 5
- y = 8
Median of Y
The median value of y, which we denote as YM, can be assessed based on the value we found:
- Since we computed y to be 8 when x = 30, the median of y in this case is:
- YM = 8
Conclusion
Based on the computation, the median of y is:
- (b) 8
This value satisfies the equation and is consistent with the provided conditions. Hence, the answer is option (b).
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.If x and y are two variables related as 2x + 5y = 100 and XM = 30 then median of y = YM is (a) 10 (b) 8 (c) 15 (d) None?
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.If x and y are two variables related as 2x + 5y = 100 and XM = 30 then median of y = YM is (a) 10 (b) 8 (c) 15 (d) None? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about .If x and y are two variables related as 2x + 5y = 100 and XM = 30 then median of y = YM is (a) 10 (b) 8 (c) 15 (d) None? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for .If x and y are two variables related as 2x + 5y = 100 and XM = 30 then median of y = YM is (a) 10 (b) 8 (c) 15 (d) None?.
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