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    The average of the first twelve multiples of 11 is:
    Question

    The average of the first twelve multiples of 11 is:

    A.

    68.5

    B.

    71.5

    C.

    69.5

    D.

    70.5

    Correct option is B

    Given:

    The first twelve multiples of 11 are:
    11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, and 132.

    Formula Used:

    The formula to calculate the average of a set of numbers is:
    Average=Sum of all termsNumber of terms\text{Average} = \frac{\text{Sum of all terms}}{\text{Number of terms}}​​

    Solution:

    The sum of the first twelve multiples of 11.
    The sum is:
    11 + 22 + 33 + 44 + 55 + 66 + 77 + 88 + 99 + 110 + 121 + 132 = 858

    The average using the formula:
    Average=Sum of all termsNumber of terms\text{Average} = \frac{\text{Sum of all terms}}{\text{Number of terms}}​​

    Substitute the values: Average  = 85812=71.5 \frac{858}{12} = 71.5​​

    The average of the first twelve multiples of 11 is 71.5\boxed{71.5}​​

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