Question

Consider the data set displayed on the following box plot. A box plot with the five-number summary of negative 3, negative 1, 7, 9, and 11.© 2018 StrongMind. Created using GeoGebra. Which of the following statements about the data set are true? Select all that apply.There is one outlier.There is one outlier. , ,The data is skewed.The data is skewed. , ,There are two outliers.There are , two, outliers. , ,The interquartile range is 8.The interquartile range is , , , ,There are no outliers.There are no outliers. , ,The data is symmetric.The data is symmetric. , ,The interquartile range is 10.

Answer 1

Step 1:

Write the formula for the outliers:

`\begin{gathered} Lower\text{ outlier = Q}_1\text{ - \lparen1.5}* IQR) \\ \\ Upper\text{ outlier = Q}_3\text{ + \lparen1.5}* IQR) \\ \\ Q_{_1\text{ }}\text{ = -1} \\ Q_3\text{ = 9} \\ \\ Interquartile\text{ range IQR = 9 - \lparen-1\rparen = 10} \end{gathered}`

Step 2:

`\begin{gathered} Lower\text{ outlier = -1 - \lparen1.5}*10) \\ =\text{ -1 - 15 = -16} \\ \\ Upper\text{ outlier = 9 + \lparen1.5}*10) \\ =\text{ 9 + 15} \\ =\text{ 24} \end{gathered}`

Final answer

There are no outliers

The data is skewed

Interquartile range = 10