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the following data have been aranged in ascending order. if their median is 63 find value of x. 34,37,53,55,x,x+2,77,83,89and100​

Sagot :

absor201

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

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