If the Arithmetic mean of 10,7,8,4,2,x is 6, then find the value of x.
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Number of terms = 6
The arithmetic mean of the terms = 6
Sum of the terms = 10 + 7 + 8 + 4 + 2 + x
= 31 + x
Mean = Sum of the terms / No. of terms
Mean = 6 = 31 + x / 6
or, 6 × 6 = 31 + x
or, 36 - 31 = 5 = x
The value of x is 5.
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