Box Plots

Front

What is a box plot?

Back

A box plot is a graphical representation that shows the variability of a data set along a number line using the least and greatest value and the quartiles of the data.

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 the difference between the first quartile (Q1) and the third quartile (Q3).

Front

How do you find the interquartile range of the data set {16, 18, 20, 25, 17, 22, 23, 21}?

Back

1. Order the data: {16, 17, 18, 20, 21, 22, 23, 25}. 2. Find Q1 (median of the first half) = 18. 3. Find Q3 (median of the second half) = 22. 4. IQR = Q3 - Q1 = 22 - 18 = 4.

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 five-number summary?

Back

The five-number summary consists of the minimum, first quartile (Q1), median, third quartile (Q3), and maximum of a data set.

Front

What does the least value in a box plot represent?

Back

The least value in a box plot represents the smallest data point in the data set.

Front

What is the median in a data set?

Back

The median is the middle value when the data set is ordered from least to greatest.

Front

How do you determine the maximum value in a box plot?

Back

The maximum value in a box plot is the largest data point in the data set.

Front

What is the purpose of a box plot?

Back

The purpose of a box plot is to visually summarize the distribution of a data set, highlighting its central tendency and variability.

Front

What does a box plot indicate about the spread of data?

Back

A box plot indicates the spread of data by showing the range, interquartile range, and potential outliers.