For what value of x will 8 and x have the same mean as 27 and 5? Elaborate step-by-step.

Asked by stutagra | 11th Feb, 2017, 03:46: PM

Expert Answer:

begin mathsize 16px style Mean space of space 27 space and space 5 equals fraction numerator sum space of space all space observations over denominator total space number space of space observations end fraction equals fraction numerator 27 plus 5 over denominator 2 end fraction equals 32 over 2 equals 16
Mean space of space 8 space and space straight x equals fraction numerator 8 plus straight x over denominator 2 end fraction
Since space we space have space to space find space that space value space of space straight x space for space which space the space mean space of space 8 space and space straight x space is space equal space to space left parenthesis or space same right parenthesis space
as space that space of space 27 plus 5
So comma space
Mean space of space 8 space and space straight x equals Mean space of space 27 space and space 5
rightwards double arrow fraction numerator 8 plus straight x over denominator 2 end fraction equals 16
rightwards double arrow 8 plus straight x equals 32
rightwards double arrow straight x equals 24
Hence comma space if space straight x equals 24 comma space the space mean space of space 8 space and space straight x equals 24 comma space will space be space the space same space as space that space of space 27 space and space 5.
end style

Answered by Rebecca Fernandes | 12th Feb, 2017, 09:26: AM

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