Comparing Box Plots

Front

What is a box plot?

Back

A box plot, or box-and-whisker plot, is a graphical representation of data that shows the distribution of a dataset based on a five-number summary: minimum, first quartile (Q1), median, third quartile (Q3), and maximum.

Front

What does the median represent in a box plot?

Back

The median is the middle value of a dataset when it is ordered from least to greatest. In a box plot, it is represented by the line inside the box.

Front

How do you determine the range of a dataset from a box plot?

Back

The range is determined by subtracting the minimum value from the maximum value. In a box plot, the range is represented by the length of the whiskers.

Front

What do the whiskers in a box plot represent?

Back

The whiskers in a box plot extend from the quartiles to the minimum and maximum values, showing the spread of the data outside the interquartile range.

Front

What is the interquartile range (IQR)?

Back

The interquartile range (IQR) is the difference between the first quartile (Q1) and the third quartile (Q3) and represents the middle 50% of the data.

Front

How can you compare two box plots?

Back

You can compare two box plots by looking at their medians, ranges, and IQRs to understand differences in central tendency and variability.

Front

What does it mean if two box plots have the same median?

Back

If two box plots have the same median, it indicates that the central value of the datasets is the same, but it does not provide information about their spread or range.

Front

What can you infer if one box plot has a longer whisker than another?

Back

A longer whisker indicates a greater spread in the data for that group, suggesting more variability in the values.

Front

What is the significance of outliers in a box plot?

Back

Outliers are data points that fall outside the whiskers of a box plot and indicate values that are significantly higher or lower than the rest of the data.

Front

How do you find the median from a box plot?

Back

The median is found by locating the line inside the box of the box plot, which divides the dataset into two equal halves.