Boxplots

Front

What is a boxplot?

Back

A boxplot, or box-and-whisker plot, is a graphical representation of a dataset that displays its minimum, first quartile (Q1), median, third quartile (Q3), and maximum.

Front

What does the median represent in a dataset?

Back

The median is the middle value of a dataset when it is ordered from least to greatest. It divides the dataset into two equal halves.

Front

How do you find the lower quartile (Q1)?

Back

The lower quartile (Q1) is the median of the lower half of the dataset, excluding the median if the number of data points is odd.

Front

What is the upper quartile (Q3)?

Back

The upper quartile (Q3) is the median of the upper half of the dataset, excluding the median if the number of data points is odd.

Front

What do the whiskers in a boxplot represent?

Back

The whiskers in a boxplot extend from the box to the smallest and largest values in the dataset that are not outliers.

Front

What is an outlier in a dataset?

Back

An outlier is a data point that is significantly different from the other data points in a dataset, often lying outside 1.5 times the interquartile range (IQR) from the quartiles.

Front

How do you calculate the interquartile range (IQR)?

Back

The interquartile range (IQR) is calculated by subtracting the lower quartile (Q1) from the upper quartile (Q3): IQR = Q3 - Q1.

Front

What is the purpose of a boxplot?

Back

A boxplot is used to visually summarize the distribution of a dataset, highlighting its central tendency, variability, and potential outliers.

Front

How can you determine the range of a dataset using a boxplot?

Back

The range of a dataset can be determined by subtracting the minimum value from the maximum value.

Front

What does a boxplot tell you about the symmetry of a dataset?

Back

The symmetry of a dataset can be inferred from the position of the median within the box; if the median is centered, the dataset is likely symmetric.