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Mathematics

If the mean of 11, 8, 13, 10, x and 9 is 9.5, find the value of x.

Measures of Central Tendency

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Answer

We know that,

Mean = ∑xin\dfrac{\sum x_i}{n}

We have,

⇒Mean=11+8+13+10+x+96⇒9.5=51+x6⇒6(9.5)=51+x⇒57=51+x⇒x=57−51⇒x=6.\Rightarrow \text{Mean} = \dfrac{11 + 8 + 13 + 10 + x + 9}{6} \\[1em] \Rightarrow 9.5 = \dfrac{51 + x}{6} \\[1em] \Rightarrow 6(9.5) = 51 + x \\[1em] \Rightarrow 57 = 51 + x \\[1em] \Rightarrow x = 57 - 51 \\[1em] \Rightarrow x = 6.

Hence, value of x is 6.

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