AP Stats Cumulative Review #2

Front

What is the mean of a set of values?

Back

The mean is the average of a set of values, calculated by adding all the values together 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

How does adding a constant value to all data points affect the mean and standard deviation?

Back

Adding a constant value to all data points increases the mean by that constant, but does not affect the standard deviation.

Front

What is a confidence interval?

Back

A confidence interval is a range of values, derived from a data set, that is likely to contain the value of an unknown population parameter. It is associated with a confidence level that quantifies the level of confidence that the parameter lies within the interval.

Front

What factors can narrow a confidence interval?

Back

A larger sample size and a lower confidence level can narrow a confidence interval.

Front

What is the significance of percentiles in statistics?

Back

Percentiles are measures that indicate the value below which a given percentage of observations in a group of observations falls. For example, the 60th percentile is the value below which 60% of the data points lie.

Front

What does the difference between the 60th and 40th percentiles indicate?

Back

The difference between the 60th and 40th percentiles indicates the variability or spread of the middle 40% of the data.

Front

What is the correlation coefficient (r) and what does it represent?

Back

The correlation coefficient (r) is a statistical measure that describes the strength and direction of a relationship between two variables. It ranges from -1 to 1.

Front

What factors can affect the value of the correlation coefficient?

Back

The correlation coefficient is not affected by changes in the scale of measurement or by the addition of a constant to all values.

Front

How do you determine the sample size needed for a survey?

Back

The sample size needed for a survey can be determined using formulas that take into account the desired margin of error, confidence level, and population size.