Dec 6 B1 BW Standard deviation and z-scores

Front

What is the definition of standard deviation?

Back

Standard deviation is a measure of the amount of variation or dispersion in a set of values. It quantifies how much the values in a dataset deviate from the mean.

Front

What is the formula for standard deviation?

Back

Front

What does a z-score represent?

Back

A z-score indicates how many standard deviations a data point is from the mean. It helps to understand the position of a value within a distribution.

Front

How do you calculate a z-score?

Back

Front

What is the z-score for a data value of 50, when mean = 40 and standard deviation = 5?

Back

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

What does a positive z-score indicate?

Back

A positive z-score indicates that the data point is above the mean.

Front

What does a negative z-score indicate?

Back

A negative z-score indicates that the data point is below the mean.

Front

If a student scores a z-score of 1.5 on a test, what does this imply?

Back

This implies that the student's score is 1.5 standard deviations above the mean score of the test.

Front

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

Back

In a normal distribution, z-scores can be used to determine the probability of a score occurring within that distribution.