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Mathematics

If 36 a + 36 b = 576, then the mean of a and b is :

  1. 6

  2. 8

  3. 12

  4. 16

Measures of Central Tendency

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Answer

Given,

36a + 36b = 576

36(a + b) = 576

a + b = 57636\dfrac{576}{36}

a + b = 16

By formula,

Mean= Sum of all observations Number of observations=a+b2=162=8.\text{Mean} = \dfrac{\text{ Sum of all observations}}{\text{ Number of observations}} \\[1em] = \dfrac{a + b}{2} \\[1em] = \dfrac{16}{2} \\[1em] = 8.

Hence, option 2 is the correct option.

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