Mathematics

Question

Given a mean of 43.8 and a standard deviation of 8.7, what is the z-score of the value 40 rounded to the nearest tenth?

2 Answer

  • For the answer to the question above, 
      Sample mean is given by, 

    x = (1/n)∑x˅i .... ˅ means sub 

    x = (1/5)(60 + 40 + 35 + 45 + 39) 
    = 43.8 

    z-score is given by, 

    z = (X - μ)/σ .... μ is population mean, σ is the standard deviation 

    z = (43.8 - 43.8)/8.7 
    = 0 
    so the answer is zero
    I hope my answer helped you.
  • Answer:

    -.4

    Step-by-step explanation:

    z score = value-mean / standard deviation

    z score = 40-43.8 / 8.7

    -.436 = 40-43.8 / 8.7

    -.436 to nearest 10th  -.4

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