Algebra II - Statitics Review

Front

What is the definition of a sample in statistics?

Back

A sample is a subset of a population used to represent the entire group in statistical analysis.

Front

What does it mean for a sample to be unbiased?

Back

An unbiased sample accurately reflects the characteristics of the population from which it is drawn, without favoring any particular group.

Front

What is the purpose of running a simulation in statistics?

Back

Simulations are used to model the behavior of a system or process to estimate probabilities and outcomes based on random sampling.

Front

What is the definition of margin of error?

Back

Margin of error is a statistic that expresses the amount of random sampling error in a survey's results, indicating the range within which the true population parameter is expected to fall.

Front

How do you calculate the mean of a data set?

Back

The mean is calculated by adding all the values in the data set and dividing by the number of values.

Front

What is standard deviation and what does it indicate?

Back

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, while a high standard deviation indicates that the values are spread out over a wider range.

Front

What is a normal distribution?

Back

A normal distribution is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Front

What is the empirical rule in statistics?

Back

The empirical rule states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, about 95% falls within two standard deviations, and about 99.7% falls within three standard deviations.

Front

What is the significance of the middle 95% in a statistical simulation?

Back

The middle 95% represents the range in which we expect the true population parameter to lie, based on the results of the simulation.

Front

How do you interpret a confidence interval?

Back

A confidence interval provides a range of values that is likely to contain the population parameter with a certain level of confidence, typically 95%.