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Two variables x and y a given by Y is equal to 2x - 3 if the median of X is 20 what is the median of y?
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Two variables x and y a given by Y is equal to 2x - 3 if the median of...
Given Information:
- Y = 2X - 3
- Median of X = 20
Finding the Median of Y:
To find the median of Y, we first need to determine the relationship between the medians of X and Y. Since Y = 2X - 3, we can see that Y is a linear transformation of X.
When a linear transformation is applied to a set of data, the median of the transformed set is also transformed by the same linear factor. In this case, since Y = 2X - 3, the median of Y will be equal to 2 times the median of X minus 3.
Therefore, the median of Y can be calculated as follows:
Median of Y = 2 * Median of X - 3
Median of Y = 2 * 20 - 3
Median of Y = 40 - 3
Median of Y = 37
Conclusion:
So, the median of Y is 37. This means that if the median of X is 20, then the median of Y will be 37 based on the linear transformation Y = 2X - 3.
- Y = 2X - 3
- Median of X = 20
Finding the Median of Y:
To find the median of Y, we first need to determine the relationship between the medians of X and Y. Since Y = 2X - 3, we can see that Y is a linear transformation of X.
When a linear transformation is applied to a set of data, the median of the transformed set is also transformed by the same linear factor. In this case, since Y = 2X - 3, the median of Y will be equal to 2 times the median of X minus 3.
Therefore, the median of Y can be calculated as follows:
Median of Y = 2 * Median of X - 3
Median of Y = 2 * 20 - 3
Median of Y = 40 - 3
Median of Y = 37
Conclusion:
So, the median of Y is 37. This means that if the median of X is 20, then the median of Y will be 37 based on the linear transformation Y = 2X - 3.
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Two variables x and y a given by Y is equal to 2x - 3 if the median of X is 20 what is the median of y?
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Two variables x and y a given by Y is equal to 2x - 3 if the median of X is 20 what is the median of y? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two variables x and y a given by Y is equal to 2x - 3 if the median of X is 20 what is the median of y? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two variables x and y a given by Y is equal to 2x - 3 if the median of X is 20 what is the median of y?.
Two variables x and y a given by Y is equal to 2x - 3 if the median of X is 20 what is the median of y? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two variables x and y a given by Y is equal to 2x - 3 if the median of X is 20 what is the median of y? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two variables x and y a given by Y is equal to 2x - 3 if the median of X is 20 what is the median of y?.
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