Comparing Data Distributions

Front

What is the Interquartile Range (IQR)?

Back

The IQR is a measure of statistical dispersion, representing the range between the first quartile (Q1) and the third quartile (Q3) in a data set.

Front

How do you determine the IQR of a data set?

Back

To find the IQR, subtract Q1 from Q3: IQR = Q3 - Q1.

Front

What does it mean if a distribution is skewed to the left?

Back

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

Front

What does it mean if a distribution is skewed to the right?

Back

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

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

When is the median a better measure of center than the mean?

Back

The median is a better measure of center when the data set is skewed or contains outliers.

Front

What is the mean?

Back

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

Front

When is the mean a better measure of center than the median?

Back

The mean is a better measure of center when the data set is symmetric and does not contain outliers.

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.

Front

What is a box plot?

Back

A box plot is a graphical representation of a data set that shows the median, quartiles, and potential outliers.