a. If a constant c is added to each xi in a sample, yielding yi = xi + c, how do the sample mean and median of the yis relate to the mean and median of the xis? Verify your conjectures. b. If each xi is multiplied by a constant c, yielding yi = cxi, answer the question of part (a). Again, verify your conjectures.

Answer : Step 1 of 2: a) If a constant c is added to each xi in a sample, yielding yi = xi + c Then how do the sample mean and median of the yis relate to the mean and median of the xis. Then, Mean is y i y = n (xi+ c) = n xi nc = n + n = x + c the median of ( x1+ c, x + 2 + ……. + x + c n ) Median of ( x +x + ……..+ x ) +c = x + c 1 2 2