Box Plots

Front

What is a box plot?

Back

A box plot is a graphical representation that shows the distribution of a data set based on a five-number summary: minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum.

Front

What does Q2 represent in a data set?

Back

Q2, also known as the median, represents the middle value of a data set when it is ordered from least to greatest.

Front

How do you calculate the range of a data set?

Back

The range is calculated by subtracting the smallest value in the data set from the largest value.

Front

What are quartiles?

Back

Quartiles are values that divide a data set into four equal parts, with each part containing 25% of the data.

Front

What is the first quartile (Q1)?

Back

Q1 is the median of the lower half of the data set, representing the 25th percentile.

Front

What is the third quartile (Q3)?

Back

Q3 is the median of the upper half of the data set, representing the 75th percentile.

Front

How do you find Q1 in a data set?

Back

To find Q1, order the data set, then find the median of the lower half of the data, excluding the overall median if the number of data points is odd.

Front

How do you find Q3 in a data set?

Back

To find Q3, order the data set, then find the median of the upper half of the data, excluding the overall median if the number of data points is odd.

Front

What is the five-number summary of a data set?

Back

The five-number summary consists of the minimum, Q1, median (Q2), Q3, and maximum values of the data set.

Front

What does a box plot visually represent?

Back

A box plot visually represents the central tendency, variability, and skewness of a data set.