Understanding Statistics

Front

What is a z-score?

Back

A z-score indicates how many standard deviations an element is from the mean. It is calculated using the formula: z = (x - mean) / standard deviation.

Front

How do you calculate the probability of an event?

Back

Probability is calculated as the number of favorable outcomes divided by the total number of possible outcomes. P(Event) = Number of favorable outcomes / Total outcomes.

Front

What is the mean in statistics?

Back

The mean is the average of a set of numbers, calculated by adding all the values together and dividing by the number of values.

Front

What is standard deviation?

Back

Standard deviation measures the amount of variation or dispersion in a set of values. A low standard deviation means the values tend to be close to the mean.

Front

How do you find the z-score given a mean and standard deviation?

Back

Use the formula: z = (x - mean) / standard deviation, where x is the value for which you want to find the z-score.

Front

What does a positive z-score indicate?

Back

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

Front

What does a negative z-score indicate?

Back

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

Front

What is a probability distribution?

Back

A probability distribution describes how the probabilities are distributed over the values of the random variable.

Front

What is the difference between independent and dependent events in probability?

Back

Independent events do not affect each other's outcomes, while dependent events do.

Front

How do you represent a probability as a fraction?

Back

A probability can be represented as a fraction by placing the number of favorable outcomes over the total number of outcomes.