The mean and the median of the following ten numbers in increasing order 10 , 22 , 26 , 29 , 34 , x , 42 , 67 , 70 , y are 42 and 35 respectively, then y x is equal to:

Step-by-step solution

Since, number of observations are even n = 10 Hence, the median is = n 2 t h   t e r m + n 2 + 1 t h   t e r m 2 = 5 t h   t e r m + 6 t h   t e r m 2 Thus, median = 34 + x 2 ⇒ 34 + x 2 = 35   ⇒ x = 36       . . . i And, mean = s u m   o f   t e r m s n u m b e r   o f   t e r m s ⇒ 10 + 22 + 26 + 29 + 34 + x + 42 + 67 + 70 + y 10 = 42   ⇒   x + y + 300 = 420 ⇒   x + y = 120       . . . i i Put th