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6 November, 14:18

The mean of the data set is 18. What number is missing? 21, 11, __, 27, 22, 13, 16

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  1. 6 November, 14:38
    0
    The unknown number is 16

    Step-by-step explanation:

    Let the missing number be x

    To find the mean we add up all the numbers and divide by the number of numbers

    21, 11, _x_, 27, 22, 13, 16

    We know the mean is 18

    (21 + 11+x + 27 + 22 + 13 + 16) / 7 = 18

    Multiply each side by 7

    (21 + 11+x + 27 + 22 + 13 + 16) / 7 * 7 = 18*7

    (21 + 11+x + 27 + 22 + 13 + 16) = 126

    Combine like terms

    110+x = 126

    Subtract 110 from each side

    110+x-110 = 126-110

    x = 16
  2. 6 November, 14:41
    0
    16

    Step-by-step explanation:

    Sum = mean * n

    Sum = 18 * 7 = 126

    21 + 11 + x + 27 + 22 + 13 + 16 = 126

    x = 16
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