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If the mean of a data set is 50 and the standard deviation is 5, what is the z-s

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Question: If the mean of a data set is 50 and the standard deviation is 5, what is the z-score of a value 60?

Options:

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Correct Answer: 2

Solution: 

Z-score = (60 - 50) / 5 = 2.

If the mean of a data set is 50 and the standard deviation is 5, what is the z-s

Practice Questions

Q1
If the mean of a data set is 50 and the standard deviation is 5, what is the z-score of a value 60?
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Questions & Step-by-Step Solutions

If the mean of a data set is 50 and the standard deviation is 5, what is the z-score of a value 60?
  • Step 1: Identify the mean of the data set, which is given as 50.
  • Step 2: Identify the standard deviation of the data set, which is given as 5.
  • Step 3: Identify the value for which you want to find the z-score, which is 60.
  • Step 4: Subtract the mean from the value: 60 - 50 = 10.
  • Step 5: Divide the result from Step 4 by the standard deviation: 10 / 5 = 2.
  • Step 6: The z-score of the value 60 is 2.
  • Z-score – A z-score indicates how many standard deviations a data point is from the mean.
  • Mean and Standard Deviation – The mean is the average of a data set, while the standard deviation measures the dispersion of the data points.
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