Box Plots

Front

What is a box plot?

Back

A box plot is a graphical representation of a dataset that shows its minimum, first quartile (Q1), median, third quartile (Q3), and maximum values.

Front

What does the lower quartile (Q1) represent?

Back

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

Front

How do you find the median of 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 values, average the two middle values.

Front

What is the upper quartile (Q3)?

Back

The upper quartile (Q3) is the value below which 75% of the data falls.

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). It measures the spread of the middle 50% of the data.

Front

How do you calculate the IQR if Q1 is 60 and Q3 is 80?

Back

IQR = Q3 - Q1 = 80 - 60 = 20.

Front

What does the median indicate in a box plot?

Back

The median indicates the middle value of the dataset, dividing it into two equal halves.

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.

Front

How can you compare two box plots?

Back

You can compare two box plots by looking at their medians, quartiles, and overall spread to understand differences in their distributions.

Front

What does a box plot tell you about outliers?

Back

Outliers are typically represented as individual points outside the whiskers of a box plot, indicating values that are significantly higher or lower than the rest of the data.