8.12 Boxplots

Front

What is a boxplot?

Back

A boxplot 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 lower quartile (Q1) represent in a boxplot?

Back

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

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 does the median represent in a boxplot?

Back

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

Front

What is the significance of the whiskers in a boxplot?

Back

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

Front

What does a boxplot tell you about the distribution of data?

Back

A boxplot provides insights into the central tendency, variability, and skewness of the data distribution.

Front

How can you identify outliers using a boxplot?

Back

Outliers can be identified in a boxplot as points that fall outside the whiskers, typically more than 1.5 times the IQR from the quartiles.

Front

What is the range of a dataset?

Back

The range of a dataset is the difference between the maximum and minimum values.

Front

If the lower quartile is 12.5 and the upper quartile is 16.5, what is the IQR?

Back

The IQR is 16.5 - 12.5 = 4.

Front

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

Back

If a boxplot is skewed to the right, it indicates that the majority of the data points are concentrated on the left side, with a few larger values extending to the right.