Question

please help me out for both of answer.

Answer 1

25,31,32,37,39,42,43,45,46

39=median

ii. median= mean of x and x+10
40=x+x+10/2
40=2x+10/2
40-10=x
x= 30

:. x+10= 30+10
=40
mean = 30+40/2
=70/2
=35

Answer 2

Answer:

Median refers to the middle most term of a data

If odd no of observations are given then median is middle most term.

And if even no of of observation are given then mean is the avg of ${\frac{n}{2} }^{th} term \:and\: (\frac{n}{2}+1)^{th}term$ where n is no of observations.

Step-by-step explanation:

4

given values are

37,31,42,43,46,25,39,45,32

arranging them in ascending order

25,31,32,37,39,42,43,45,46

here the n is odd, middle most term is 39

Therefore 39 is the median.

5

Given data is

31,33,35,x,x+10,48,48,50

given median is 40

here n is even

Median=$\frac{x+x+10}{2}=x+5\\x+5=40\\x=35$

Therefore x=35

Hope it helps