AP Stats Chapters 1-2 Review

Front

What is a density curve?

Back

A density curve is a graphical representation of the distribution of a continuous random variable. It shows the relative likelihood of different outcomes and must satisfy two conditions: it is always above the x-axis, and the total area under the curve equals 1.

Front

What does it mean for a distribution to be roughly symmetric?

Back

A distribution is roughly symmetric if the left and right sides of the distribution are mirror images of each other. This means that the mean, median, and mode are approximately equal.

Front

What is the significance of the mean in a normal distribution?

Back

In a normal distribution, the mean is the central point around which the data is distributed. It is also the point of symmetry and the highest point of the curve.

Front

What is the standard deviation and why is it important?

Back

The standard deviation is a measure of the amount of variation or dispersion in a set of values. It indicates how spread out the values are around the mean. A smaller standard deviation means the values are closer to the mean.

Front

What is a categorical variable?

Back

A categorical variable is a type of variable that can take on one of a limited, fixed number of possible values, assigning each individual or other unit of observation to a particular group or nominal category.

Front

What is a quantitative variable?

Back

A quantitative variable is a type of variable that can be measured and expressed numerically, allowing for mathematical operations to be performed on the data.

Front

What does a histogram represent?

Back

A histogram is a graphical representation of the distribution of numerical data, showing the frequency of data points within specified ranges (bins). It helps visualize the shape and spread of the data.

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 purpose of a segmented bar graph?

Back

A segmented bar graph is used to display the relative proportions of different categories within a whole. It helps visualize the distribution of categorical data across different groups.

Front

What does it mean for two variables to be associated?

Back

Two variables are said to be associated if changes in one variable are related to changes in another variable. This can indicate a potential correlation or causal relationship.