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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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