Answer:
The value of x is 62
Step-by-step explanation:
Given data is:
34,37,53,55,x,x+2,77,83,89and100
As the number of values is 10 (which is even number of values) i.e. n=10
The median will be the average of two middle values.
[tex]M = \frac{1}{2}(\frac{n}{2}th\ value + \frac{n+2}{2}th\ value})\\M = \frac{1}{2}(\frac{10}{2}th\ value + \frac{10+2}{2}th\ value})\\M = \frac{1}{2}(5th\ value + 6th\ value})\\[/tex]
As it is already given that the median is 63
Putting M=63
[tex]63 = \frac{1}{2}(x+x+2)\\126 = 2x+2\\126-2 = 2x\\124 = 2x\\\frac{2x}{2} = \frac{124}{2}\\x = 62[/tex]
Hence,
The value of x is 62
