Comparing Distributions

Front

What is a distribution in statistics?

Back

A distribution is a way to describe how values of a variable are spread or arranged. It shows the frequency of each value or range of values.

Front

What does the median represent in a data set?

Back

The median is the middle value of a data set when it is ordered from least to greatest. It divides the data into two equal halves.

Front

What does it mean for a distribution to be skewed to the right?

Back

A distribution is skewed to the right when the tail on the right side is longer or fatter than the left side, indicating that there are a few high values.

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.

Front

How can you identify a bimodal distribution?

Back

A bimodal distribution has two different modes, or peaks, indicating that there are two values that occur most frequently.

Front

What is variability in a data set?

Back

Variability refers to how spread out or dispersed the values in a data set are. High variability means the values are spread out over a wider range.

Front

What is the difference between mean and median?

Back

The mean is the average of all values in a data set, while the median is the middle value when the data is ordered.

Front

What does it mean for a distribution to be approximately symmetrical?

Back

A symmetrical distribution is one where the left and right sides of the distribution are mirror images of each other.

Front

How do you determine which data set has points closest to the mean?

Back

The data set with the smallest standard deviation has points that are closest to the mean.

Front

What is a dot plot?

Back

A dot plot is a simple visual representation of data where each value is represented by a dot above a number line.