If 4x $$-$$ 5y + 33 = 0 and 20x $$-$$ 9y = 107 are two lines of regression, then what are the values of $$\overline x $$ and $$\overline y $$ respectively ?

Consider the following statements

I. Mean is independent of change in scale and change in origin.

II. Variance is independent of change in scale but not in origin.

Which of the above statements is/are correct?

Consider the following statements

I. The sum of deviations from mean is always zero.

II. The sum of absolute deviations is minimum when taken around median.

Which of the above statements is/are correct?

What is the median of the numbers 4.6, 0, 9.3, $$-$$4.8, 7.6, 2.3, 12.7, 3.5, 8.2, 6.1, 3.9, 5.2 ?