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Mathematics

If the mean of 6, 4, 7, a and 10 is 8, find the value of 'a'.

Measures of Central Tendency

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Answer

Sum of observations = 6 + 4 + 7 + a + 10 = a + 27.

By formula,

Mean = Sum of observationNo. of observation\dfrac{\text{Sum of observation}}{\text{No. of observation}}

⇒ 8 = a+275\dfrac{a + 27}{5}

⇒ 40 = a + 27

⇒ a = 13.

Hence, the value of a = 13.

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