Z-Score Quiz

What is the formula to calculate the z-score?

• (x - μ) * σ

• (x - μ) / σ

• (x + μ) * σ

• (x + μ) / σ

What does the z-score measure in statistics?

• The z-score measures the range of a distribution.

• The z-score measures the number of standard deviations an observation or data point is from the mean of a distribution.

• The z-score measures the mode of a distribution.

• The z-score measures the median of a distribution.

What is the z-score of a data point that is equal to the mean?

• 1

• 10

• -1

• 0

What is the z-score of a data point that is one standard deviation above the mean?

• 2

• -1

• 1

• 0

What is the z-score of a data point that is two standard deviations below the mean?

• 0

• -2

• -1

• 1

What is the z-score of a data point that is in the 90th percentile?

• 2.33

• 1.96

• 1.28

• 0.67

What is the relationship between z-scores and the standard normal distribution?

• Z-scores are used to convert data into a skewed distribution.

• Z-scores are only applicable to discrete data.

• The standard normal distribution is a subset of z-scores.

• Z-scores are used to convert data into a standard normal distribution.

How can z-scores be used to calculate probabilities?

• By multiplying the z-score by the standard deviation.

• By subtracting the z-score from the mean.

• By dividing the z-score by the standard deviation.

• By converting a raw score into a standard score and using the standard normal distribution table.

What is the z-score of a data point that is in the 75th percentile?

• 0.62

• 0.67

• 0.68

• 0.72

How can z-scores be used to compare data points from different distributions?

• By standardizing the data points and converting them into a common scale.

• By calculating the mean of the data points and comparing them directly.

• By converting the data points into percentages and comparing them.

• By using the range of the data points and comparing them directly.