ALG Box and Whisker Plots

Front

What is a box plot?

Back

A box plot is a graphical representation of a dataset that displays the distribution through five summary statistics: minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum.

Front

What does the lower quartile (Q1) represent in a box plot?

Back

The lower quartile (Q1) represents the 25th percentile of the data, meaning that 25% of the data points fall below this value.

Front

What does the upper quartile (Q3) represent in a box plot?

Back

The upper quartile (Q3) represents the 75th percentile of the data, meaning that 75% of the data points fall below this value.

Front

What is the interquartile range (IQR)?

Back

The interquartile range (IQR) is the difference between the upper quartile (Q3) and the lower quartile (Q1), representing the range of the middle 50% of the data.

Front

How do you calculate the median from a box plot?

Back

The median is the value that divides the dataset into two equal halves and is represented by the line inside the box of the box plot.

Front

What does point C represent on a box plot?

Back

Point C represents the median of the dataset.

Front

What do points B and D represent on a box plot?

Back

Points B and D represent the first quartile (Q1) and the third quartile (Q3), respectively.

Front

What percentage of data falls between the lower quartile and upper quartile?

Back

50% of the data falls between the lower quartile (Q1) and upper quartile (Q3).

Front

What is the significance of the whiskers in a box plot?

Back

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

Front

How can you identify outliers in a box plot?

Back

Outliers can be identified in a box plot as points that fall outside the whiskers, typically defined as being more than 1.5 times the IQR above Q3 or below Q1.