Solveeit Logo

Question

Mathematics Question on Mean Deviation

The mean and the median of the following ten numbers in increasing order 10,22,26,29,34,x42,67,70,y10, 22, 26, 29, 34, x 42, 67, 70,\, y are 4242 and 3535 respectively, then yx\frac{y}{x} is equal to :

A

44745

B

44808

C

44744

D

44776

Answer

44745

Explanation

Solution

34+x2=35\frac{34+x}{2} =35 x=36x=36 42=10+22+26+29+34+36+42+67+70+y1042 = \frac{10+22+26+29+34+36+42+67+70+y}{10} 420336=yy=84420-336 =y \Rightarrow y = 84 yx=8436=73\frac{y}{x} = \frac{84}{36} = \frac{7}{3}