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15 May, 11:27

Find the standard deviation of the words per page. 10 15 8 16 14 12 9 12 14 10

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Answers (2)
  1. 15 May, 15:01
    0
    Standard deviation = 2.569

    Step-by-step explanation:

    The mean = (10 + 15 + 8 + 16 + 14 + 12 + 9 + 12 + 14 + 10) : 10 = 12

    x - mean = - 2, 3, - 4, 4, 2, 0, - 3, 0, 2, - 2

    (x - mean) ² = 4, 9, 16, 16, 4, 0, 9, 0, 4, 4

    Σ (x - mean) ² = 4 + 9 + 16 + 16 + 4 + 0 + 9 + 0 + 4 + 4 = 66

    Standard deviation = √ (66/10) = 2.569
  2. 15 May, 15:20
    0
    standard deviation = 2.56.

    Step-by-step explanation:

    We have to find the standard deviation of:

    10, 15, 8,16, 14, 12, 9,12, 14, 10

    The formula to find standard deviation is:

    S. D = ∑ (x-mean) ² / n where n is total number of values.

    The mean is the sum of total values divided by the number of values.

    The mean = (10 + 15+8 + 16+14 + 12 + 9+12 + 14 + 10) / 10 = 12

    (x - mean) = - 2, 3,-4, 4, 2, 0, - 3, 0, 2, - 2.

    (x - mean) ² = 4, 9,16, 16, 4, 0, 9, 0, 4, 4.

    ∑ (x - mean) ² = 4+9+16 + 16+4 + 0 + 9+0 + 4 + 4 = 6

    n = 10

    Putting values in formula, we have

    standard deviation = √66/10

    S. D = 2.56 which is the answer.
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