Box Plots

Front

What is a box plot?

Back

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

Front

What does the interquartile range (IQR) represent?

Back

The interquartile range (IQR) represents the range of the middle 50% of the data, calculated as Q3 - Q1.

Front

How do you find the median of a data set?

Back

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

Front

What is the range of a data set?

Back

The range is the difference between the largest and smallest values in the data set.

Front

What is the first quartile (Q1)?

Back

The first quartile (Q1) is the median of the lower half of the data set, representing the 25th percentile.

Front

What is the third quartile (Q3)?

Back

The third quartile (Q3) is the median of the upper half of the data set, representing the 75th percentile.

Front

How do you calculate the interquartile range (IQR)?

Back

The interquartile range (IQR) is calculated by subtracting Q1 from Q3: IQR = Q3 - Q1.

Front

What does a box plot visually represent?

Back

A box plot visually represents the distribution of a data set, highlighting the median, quartiles, and potential outliers.

Front

What is an outlier in a data set?

Back

An outlier is a data point that is significantly different from the other observations, often lying outside 1.5 times the IQR from the quartiles.

Front

How do you identify outliers using a box plot?

Back

Outliers can be identified in a box plot as points that fall outside the whiskers, which extend to 1.5 times the IQR from Q1 and Q3.