Reading Boxplots

Front

What is a boxplot?

Back

A boxplot is a graphical representation of a dataset that shows its minimum, first quartile (Q1), median, third quartile (Q3), and maximum values.

Front

What does the interquartile range (IQR) represent?

Back

The interquartile range (IQR) represents the range of the middle 50% of a dataset, calculated as Q3 - Q1.

Front

How do you find the median in a dataset?

Back

To find the median, arrange the data in ascending order and locate the middle value. If there is an even number of values, average the two middle values.

Front

What is the formula for calculating the range of a dataset?

Back

The range is calculated by subtracting the minimum value from the maximum value in the dataset.

Front

What does the upper quartile (Q3) indicate?

Back

The upper quartile (Q3) indicates the value below which 75% of the data falls.

Front

What does the lower quartile (Q1) indicate?

Back

The lower quartile (Q1) indicates the value below which 25% of the data falls.

Front

How can you determine which group has a larger interquartile range?

Back

Compare the IQRs of the groups by calculating Q3 - Q1 for each group and identifying the larger value.

Front

What is the significance of the median in a dataset?

Back

The median provides a measure of central tendency that is less affected by outliers than the mean.

Front

What does a wider box in a boxplot indicate?

Back

A wider box in a boxplot indicates a larger interquartile range, meaning more variability in the middle 50% of the data.

Front

How do you interpret the whiskers in a boxplot?

Back

The whiskers in a boxplot extend from the quartiles to the minimum and maximum values, showing the range of the data.