0904.1.4 Shape of Data and Measures of Centers

Front

What is the shape of a symmetrical distribution?

Back

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

Front

What does it mean if the mean is lower than the median?

Back

It indicates that the distribution is skewed to the left, meaning there are a few low outliers pulling the mean down.

Front

What is a right-skewed distribution?

Back

A right-skewed distribution has a longer tail on the right side, meaning the majority of data points are concentrated on the left.

Front

What does it indicate if the mean is higher than the median?

Back

It suggests that the distribution is skewed to the right, with a few high outliers pulling the mean up.

Front

What is a left-tailed (or left-skewed) distribution?

Back

A left-tailed distribution has a longer tail on the left side, indicating that most data points are concentrated on the right.

Front

Define mode in the context of data distribution.

Back

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

Front

What is the median?

Back

The median is the middle value of a data set when it is ordered from least to greatest.

Front

How do you determine if a distribution is uniform?

Back

A uniform distribution has all outcomes equally likely, resulting in a flat graph.

Front

What is the importance of understanding data distribution shapes?

Back

Understanding distribution shapes helps in analyzing data trends and making predictions.

Front

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

Back

It means that the data is roughly balanced on both sides, but may not be perfectly symmetrical.