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If a quartile deviation of 'x' is 6; 3x+6y=20 then what is quartile deviation of y ?
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If a quartile deviation of 'x' is 6; 3x+6y=20 then what is quartile de...
Q.d of y=modulus of slope multiply q.d.of xtherefore q.d of y=3/6*6 equals to 3
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If a quartile deviation of 'x' is 6; 3x+6y=20 then what is quartile de...
Calculating Quartile Deviation of Y Given Quartile Deviation of X and Equation 3x 6y = 20
Understanding Quartile Deviation
Quartile deviation is a statistical measure that shows the spread of a dataset. It is the difference between the third and first quartiles of a dataset, divided by two. It is denoted by QD.
Mathematically, QD = (Q3 - Q1) / 2
Given Information
- Quartile deviation of x = 6
- 3x + 6y = 20
Solving for Quartile Deviation of Y
First, let's solve for the values of Q1 and Q3 for x using the given equation.
- 3x + 6y = 20
- 3x = 20 - 6y
- x = (20 - 6y) / 3
To find Q1 and Q3, we need to find the values of x when y = 0.25 and y = 0.75, respectively.
- Q1: x = (20 - 6(0.25)) / 3 = 6.25
- Q3: x = (20 - 6(0.75)) / 3 = 4.17
Now, we can calculate the quartile deviation of y using the formula.
- QDx = (Q3x - Q1x) / 2 = (4.17 - 6.25) / 2 = -1.04
- 3x + 6y = 20
- 6y = 20 - 3x
- y = (20 - 3x) / 6
To find the values of y when x = 0.25 and x = 0.75, we substitute these values in the equation.
- When x = 0.25, y = (20 - 3(0.25)) / 6 = 3.04
- When x = 0.75, y = (20 - 3(0.75)) / 6 = 2.79
Now, we can calculate the quartile deviation of y using the formula.
- QDy = (Q3y - Q1y) / 2 = (3.04 - 2.79) / 2 = 0.125
Conclusion
The quartile deviation of y is 0.125.
To calculate the quartile deviation of y, we first solved for the values of Q1 and Q3 for x using the given equation. Then, we calculated the quartile deviation of x. Finally, we substituted the values of x at Q1 and Q3 in the equation for y to
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If a quartile deviation of 'x' is 6; 3x+6y=20 then what is quartile deviation of y ?
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If a quartile deviation of 'x' is 6; 3x+6y=20 then what is quartile deviation of y ? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If a quartile deviation of 'x' is 6; 3x+6y=20 then what is quartile deviation of y ? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a quartile deviation of 'x' is 6; 3x+6y=20 then what is quartile deviation of y ?.
If a quartile deviation of 'x' is 6; 3x+6y=20 then what is quartile deviation of y ? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If a quartile deviation of 'x' is 6; 3x+6y=20 then what is quartile deviation of y ? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a quartile deviation of 'x' is 6; 3x+6y=20 then what is quartile deviation of y ?.
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