High School

Suppose that, at a visit to the doctor, a patient weighs 147 pounds. If the doctor assumes the patient belongs to a population that has an average weight of 151 pounds and a standard deviation of 43 pounds, compute the z-score (standardized value) of the patient's weight. Provide the answer in decimal form, rounded to two places.

Answer :

The Zscore value of the patient's weight rounded to 2 decimal places is -0.09

Computing Zscore Value

Using the parameters given for our Calculation;

  • mean = 151
  • standard deviation= 43

Using the Zscore formula :

  • Zscore = (score - mean)/standard deviation
  • score = 147 pounds

Substituting into our formula;

Zscore = (147 - 151)/43

Zscore = -4/43

Zscore = -0.0930

Hence, The Zscore value of the weight is -0.09

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