Shapes of 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 it mean if a distribution is unimodal?

Back

A unimodal distribution has one clear peak or mode, indicating that most data points cluster around a single value.

Front

What does it mean if a distribution is bimodal?

Back

A bimodal distribution has two distinct peaks or modes, indicating that there are two values around which data points cluster.

Front

What is the mean in a data set?

Back

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

Front

What is the median in a data set?

Back

The median is the middle value when all values are arranged in order. If there is an even number of values, it is the average of the two middle values.

Front

When should you use the mean as a measure of center?

Back

Use the mean when the data is symmetrically distributed without outliers, as it provides a good overall average.

Front

When should you use the median as a measure of center?

Back

Use the median when the data is skewed or has outliers, as it better represents the center of the data.

Front

What does it mean if a distribution is left skewed?

Back

A left skewed distribution has a longer tail on the left side, indicating that most values are concentrated on the right.

Front

What does it mean if a distribution is right skewed?

Back

A right skewed distribution has a longer tail on the right side, indicating that most values are concentrated on the left.

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.