Finding Z-scores and Table B Values

Front

What is a Z-score?

Back

A Z-score indicates how many standard deviations a data point is from the mean. It is calculated using the formula: Z = (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation.

Front

How do you find the probability of a score being below a certain Z-score?

Back

To find the probability of a score being below a certain Z-score, you can use the standard normal distribution table (Table B) to look up the corresponding probability.

Front

What is the mean in a normal distribution?

Back

The mean is the average of all data points in a distribution and is the center point of the normal distribution curve.

Front

What is the standard deviation?

Back

The standard deviation is a measure of the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values tend to be close to the mean.

Front

How do you calculate a Z-score?

Back

To calculate a Z-score, use the formula: Z = (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation.

Front

What does a negative Z-score indicate?

Back

A negative Z-score indicates that the data point is below the mean of the distribution.

Front

What does a positive Z-score indicate?

Back

A positive Z-score indicates that the data point is above the mean of the distribution.

Front

What is the significance of a Z-score of 0?

Back

A Z-score of 0 indicates that the data point is exactly at the mean of the distribution.

Front

How do you interpret a Z-score of 2.26?

Back

A Z-score of 2.26 means that the data point is 2.26 standard deviations above the mean.

Front

What is the probability associated with a Z-score of -0.37?

Back

The probability associated with a Z-score of -0.37 is approximately 0.3557, meaning about 35.57% of the data falls below this score.