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Standard Deviation

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How do you find the z-score corresponding to a score of X = 100 for the distributions given below? How do you know what direction they are going?

a. mu = 80 and sigma = 10
b. mu = 80 and sigma = 5
c. mu = 105 and sigma = 10
d. mu = 105 and sigma = 5

Above, mu represents Mean and sigma represents Standard Deviation.

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Solution Summary

The steps to show standard deviation below the mean are applied.

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We will use the formula:

z-score = (X - mu)/sigma

Sign of z-score tells the direction. If sign is positive then score is above mean and ...

Solution provided by:
Sandhya Sharma, MSc
Education
  • BSc, Meerut University
  • MSc, Meerut University
  • MPhil, Institute of Advanced Studies
  • MSc, AIT
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