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If the mean of the 5 …

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If the mean of the 5 observation is x,x+2,x+4,x+6,x+8 is 11. Find the mean of five observation

    • Posted by Harshi ?? 6 years, 6 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Sia ? 6 years, 6 months ago

    given , observations x, x + 2, x + 4, x + 6 and x + 8.
    given , mean = 11. 
    Mean of given observations = {tex}\frac{\text{Sum of given observations}}{\text{Total number of observations}}{/tex}
    {tex}\therefore 11 = \frac { x + ( x + 2 ) + ( x + 4 ) + ( x + 6 ) + ( x + 8 ) } { 5 }{/tex}
    {tex}\Rightarrow 55 = 5x + 20{/tex}
    {tex}\Rightarrow 5x = 55 - 20{/tex}
    {tex}\Rightarrow 5x = 35{/tex}
    {tex}\Rightarrow x  = 7{/tex}

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