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Arithmetic Mean and Range

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Question 28
If the arithmetic mean of 8, 4, x, 6, 2, 7 is 5, then the value of x is ___.

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Solution

We know that,
$M e a n = \frac{S u m o f a l l o b s e r v a t i o n s}{T o t a l n u m b e r o f o b s e r v a t i o n s} \Rightarrow = \frac{8 + 4 + x + 6 + 2 + 7}{6} [∵ m e a n = 5, g i v e n] \Rightarrow 30 = 27 + x \Rightarrow 30 - 27 = x \Rightarrow 3 = x ∴ x = 3$
Hence, the value of x is 3.

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Arithmetic Mean and Range

Standard VII Mathematics

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