Skewness and Mode

Front

What is skewness?

Back

Skewness is a measure of the asymmetry of the probability distribution of a real-valued random variable. It indicates whether data points are concentrated on one side of the mean.

Front

What does it mean if a distribution is skewed left?

Back

A left-skewed distribution has a longer tail on the left side. This means that the majority of the data points are concentrated on the right side of the mean.

Front

What does it mean if a distribution is skewed right?

Back

A right-skewed distribution has a longer tail on the right side. This indicates that most data points are concentrated on the left side of the mean.

Front

Define a uniform distribution.

Back

A uniform distribution is a type of distribution in which all outcomes are equally likely. The graph of a uniform distribution is flat.

Front

What is a symmetric distribution?

Back

A symmetric distribution is one where the left and right sides of the distribution are mirror images of each other, meaning the mean, median, and mode are all equal.

Front

What is the mode of a data set?

Back

The mode is the value that appears most frequently in a data set.

Front

What is a unimodal distribution?

Back

A unimodal distribution has one clear peak or mode, indicating that one value occurs more frequently than others.

Front

What is a bimodal distribution?

Back

A bimodal distribution has two different modes, or peaks, indicating that there are two values that occur with the highest frequency.

Front

How can you identify a skewed distribution from a graph?

Back

A skewed distribution can be identified by the direction of the tail: if the tail is longer on the left, it is skewed left; if the tail is longer on the right, it is skewed right.

Front

What is the relationship between skewness and the mean, median, and mode?

Back

In a left-skewed distribution, the mean is less than the median, which is less than the mode. In a right-skewed distribution, the mean is greater than the median, which is greater than the mode.