Box and Whisker Plots

Front

What is a Box and Whisker Plot?

Back

A Box and Whisker Plot is a graphical representation of a dataset that displays 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 calculate the median in a Box and Whisker Plot?

Back

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

Front

What does the whisker in a Box and Whisker Plot indicate?

Back

The whiskers extend from the quartiles to the minimum and maximum values, showing the range of the data outside the interquartile range.

Front

What is the purpose of a Box and Whisker Plot?

Back

The purpose is to summarize a dataset visually, highlighting its central tendency, variability, and potential outliers.

Front

What is an outlier in the context of Box and Whisker Plots?

Back

An outlier is a data point that lies significantly outside the range of the other data points, often defined as being more than 1.5 times the IQR above Q3 or below Q1.

Front

How can you determine the IQR from a Box and Whisker Plot?

Back

The IQR can be determined by subtracting the first quartile (Q1) from the third quartile (Q3): IQR = Q3 - Q1.

Front

What does a higher median indicate in a Box and Whisker Plot?

Back

A higher median indicates that the central value of the dataset is greater, suggesting that the majority of the data points are higher.

Front

How do you interpret the quartiles in a Box and Whisker Plot?

Back

Q1 represents the 25th percentile, Q2 (median) represents the 50th percentile, and Q3 represents the 75th percentile of the dataset.

Front

What is the significance of the minimum and maximum values in a Box and Whisker Plot?

Back

The minimum and maximum values indicate the lowest and highest data points in the dataset, providing context for the overall range.