Box Plots

Front

What is a box plot?

Back

A box plot, also known as a whisker plot, is a graphical representation of a dataset that shows its 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

What is the interquartile range (IQR)?

Back

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

Front

How do you find the lower quartile (Q1)?

Back

The lower quartile (Q1) is the median of the lower half of the dataset, which includes all values below the overall median.

Front

What is the upper quartile (Q3)?

Back

The upper quartile (Q3) is the median of the upper half of the dataset, which includes all values above the overall median.

Front

What does the whisker in a box plot represent?

Back

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

Front

How can you identify outliers in a box plot?

Back

Outliers are typically represented as individual points that fall outside the range defined by the whiskers, which is usually 1.5 times the IQR above Q3 and below Q1.

Front

What is the purpose of a box plot?

Back

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

Front

What is the relationship between the median and the quartiles in a box plot?

Back

The median divides the dataset into two halves, while the quartiles (Q1 and Q3) further divide each half into quarters, providing a more detailed view of the data distribution.

Front

How do you calculate the IQR if Q1 is 20 and Q3 is 24?

Back

IQR = Q3 - Q1 = 24 - 20 = 4.