Box Plots

Front

What is a box plot?

Back

A box plot, 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 do the whiskers in a box plot represent?

Back

The whiskers in a box plot extend from the box to the smallest and largest values that are not outliers, showing the range of the data.

Front

How do you find the median in a dataset?

Back

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

Front

What are quartiles?

Back

Quartiles are values that divide a dataset into four equal parts. Q1 is the first quartile (25th percentile), Q2 is the median (50th percentile), and Q3 is the third quartile (75th percentile).

Front

How do you calculate Q1?

Back

Q1 is calculated as the median of the lower half of the dataset (excluding the overall median if the number of data points is odd).

Front

How do you calculate Q3?

Back

Q3 is calculated as the median of the upper half of the dataset (excluding the overall median if the number of data points is odd).

Front

What is the interquartile range (IQR)?

Back

The interquartile range (IQR) is the difference between Q3 and Q1 (IQR = Q3 - Q1) and measures the spread of the middle 50% of the data.

Front

What does a box plot tell you about the data distribution?

Back

A box plot provides a visual summary of the central tendency, variability, and skewness of the data, as well as potential outliers.

Front

What is an outlier in a box plot?

Back

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

Front

How can you identify the maximum and minimum values in a box plot?

Back

The maximum value is represented by the right whisker, while the minimum value is represented by the left whisker in a box plot.