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Mathematics

If the mean of 6, 8, 9, x, 13 is 10, find the value of x.

Statistics

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Answer

Numbers: 6, 8, 9, x, 13

Mean = 10

Number of observations (n) = 5

Mean = Sum of observationsTotal number of observations\dfrac{\text{Sum of observations}}{\text{Total number of observations}}

⇒ 10 = 6+8+9+x+135\dfrac{6 + 8 + 9 + x + 13}{5}

⇒ 50 = 36 + x

⇒ x = 50 - 36 = 14.

Hence, x = 14.

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