Z-Scores

What is the formula to calculate the z-score?

• (x + μ) / σ

• (x - μ) * σ

• (x + μ) * σ

• (x - μ) / σ

If a data point has a z-score of 1.5, what does it indicate?

• The data point is 1.5 standard deviations below the mean.

• The data point is 1.5 times the mean.

• The data point is 1.5 standard deviations away from the mean.

• The data point is 1.5 standard deviations above the mean.

A dataset has a mean of 50 and a standard deviation of 10. What is the z-score of a data point with a value of 60?

• 0.5

• 2

• -1

• 1

A dataset has a mean of 75 and a standard deviation of 5. What is the z-score of a data point with a value of 80?

• 1

• 0.5

• 10

• 2

A dataset has a mean of 100 and a standard deviation of 20. What is the z-score of a data point with a value of 120?

• 0.5

• -1

• 1

• 2

A dataset has a mean of 50 and a standard deviation of 8. What is the z-score of a data point with a value of 42?

• -1

• 2

• 1

• 0.5

A dataset has a mean of 70 and a standard deviation of 15. What is the z-score of a data point with a value of 85?

A dataset has a mean of 90 and a standard deviation of 12. What is the z-score of a data point with a value of 95?

• 0.4167

• 0.25

• 1.25

• 0.8333

A dataset has a mean of 60 and a standard deviation of 10. What is the z-score of a data point with a value of 55?

• 0.5

• -0.05

• 1.5

• -0.5

A dataset has a mean of 80 and a standard deviation of 6. What is the z-score of a data point with a value of 85?

• 0.8333

• 0.5

• 1.2

• 0.25