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If the data set has a mean of 50 and a standard deviation of 10, what is the z-s

Practice Questions

Q1
If the data set has a mean of 50 and a standard deviation of 10, what is the z-score of the value 70?
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Questions & Step-by-Step Solutions

If the data set has a mean of 50 and a standard deviation of 10, what is the z-score of the value 70?
Correct Answer: 2
  • 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 10.
  • Step 3: Identify the value for which you want to find the z-score, which is 70.
  • Step 4: Use the z-score formula: Z-score = (X - Mean) / Standard Deviation.
  • Step 5: Substitute the values into the formula: Z-score = (70 - 50) / 10.
  • Step 6: Calculate the difference: 70 - 50 = 20.
  • Step 7: Divide the difference by the standard deviation: 20 / 10 = 2.
  • Step 8: The z-score of the value 70 is 2.
  • Z-score Calculation – The z-score measures how many standard deviations a data point is from the mean.
  • Mean and Standard Deviation – Understanding the mean as the average value and standard deviation as a measure of data spread.
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