The median value of x is 2.
According to the statement
we have given the values of x at some points then
and we have to find the median for the x.
We know that the median formula is {(n + 1) ÷ 2}th, where “n” is the number of items in the set and “th” just means the (n)th number.
and after put the values in this formula we get our median value for x.
So,
we have given that the f(x) is 0.2 when x is from -1 to 0
and f(x) is 0.2 +1.2x when x is grater than 0 but less than 1
and f(x) is 0 when x is less than -1 or grater than 1
From these statements it is clear that the the f(x) is only exist when the x lies in between from the -1 to 1.
So, the total value of x becomes is -1,0,1
Then according to the median formula
median = (n + 1) ÷ 2
median = (3+1) / 2
median = 2.
So, The median value of x is 2.
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