AP Statistics Unit 1 Review

Front

What is the median in a data set?

Back

The median is the middle value when the data set is ordered from least to greatest. If there is an even number of observations, the median is the average of the two middle values.

Front

What does the Central Limit Theorem state?

Back

The Central Limit Theorem states that the distribution of the sample means will approach a normal distribution as the sample size increases, regardless of the shape of the population distribution.

Front

How do you determine if a distribution is skewed?

Back

A distribution is skewed if one tail is longer or fatter than the other. If the tail on the right side is longer, it is skewed to the right; if the tail on the left side is longer, it is skewed to the left.

Front

What is a normal distribution?

Back

A normal distribution is a symmetric, bell-shaped distribution characterized by its mean and standard deviation. About 68% of the data falls within one standard deviation of the mean.

Front

What is standard deviation?

Back

Standard deviation is a measure of the amount of variation or dispersion in a set of values. A low standard deviation means 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 does it mean for a distribution to be skewed to the left?

Back

A distribution is skewed to the left when the left tail is longer or fatter than the right tail, indicating that there are a larger number of lower values.

Front

What is the empirical rule?

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 a histogram?

Back

A histogram is a graphical representation of the distribution of numerical data, showing the frequency of data points within specified ranges (bins).

Front

What does it mean for a distribution to be bimodal?

Back

A bimodal distribution has two different modes or peaks, indicating that there are two prevalent values or groups within the data set.

Front

How can you identify a skewed right distribution?

Back

A skewed right distribution has a longer tail on the right side, indicating that there are a few higher values that are pulling the mean to the right.