write the arthametic means of 9,4,3,x,10,5,6 and 4 is 6. Find the value of x.​

write the arthametic means of 9,4,3,x,10,5,6 and 4 is 6. Find the value of x.​

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  1. Step-by-step explanation:

    Given:

    The arthametic means of 9,4,3,x,10,5,6 and 4 is 6.

    To find:

    Find the value of x.

    Solution:

    Given observations are 9,4,3,x,10,5,6 and 4

    Sum of all observations =

    9+4+3+x+10+5+6+4

    =41+x

    Number of all observations = 8

    Mean = 6

    We know that

    Mean = Sum of all observations/Number of all observations

    =>(41+x)/8 = 6

    =>41+x = 6×8

    =>41+x = 48

    =>x = 48-41

    =>x = 7

    Answer:

    The value of x for the given problem is 7

    Check:

    The observations are 9,4,3,7,10,5,6 and 4

    Mean = Sum of all observations/Number of all observations

    =>Mean = (9+4+3+7+10+5+6+4)/8

    =>Mean = 48/8

    Mean = 6

    Verified the given relations

    Used formulae:

    • Mean = Sum of all observations/Number of all observations
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