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If a data set has a mean of 10 and a standard deviation of 2, what is the z-scor

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Question: If a data set has a mean of 10 and a standard deviation of 2, what is the z-score of a value 12?

Options:

  1. 1
  2. 0
  3. 2
  4. -1

Correct Answer: 1

Solution: 

Z-score = (X - mean) / standard deviation = (12 - 10) / 2 = 1.

If a data set has a mean of 10 and a standard deviation of 2, what is the z-scor

Practice Questions

Q1
If a data set has a mean of 10 and a standard deviation of 2, what is the z-score of a value 12?
  1. 1
  2. 0
  3. 2
  4. -1

Questions & Step-by-Step Solutions

If a data set has a mean of 10 and a standard deviation of 2, what is the z-score of a value 12?
  • Step 1: Identify the mean of the data set, which is given as 10.
  • Step 2: Identify the standard deviation of the data set, which is given as 2.
  • Step 3: Identify the value for which we want to find the z-score, which is 12.
  • Step 4: Use the z-score formula: Z-score = (X - mean) / standard deviation.
  • Step 5: Substitute the values into the formula: Z-score = (12 - 10) / 2.
  • Step 6: Calculate the difference: 12 - 10 = 2.
  • Step 7: Divide the difference by the standard deviation: 2 / 2 = 1.
  • Step 8: The z-score of the value 12 is 1.
  • 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 and standard deviation as a measure of data spread.
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