Image Summary

In the below image, we have three box-plots. Each box-plot is for a different Iris flower: setosa, versicolor, or virginica. On the y-axis, we are given the sepal length. Notice that virginica has an outlier towards the bottom of the plot. Therefore, the minimum is not given by the bottom line here; rather, it is provided by this point.

Quick Refresher: The measures of center and spread we can determine from a Box Plot are as follows. Let's use Setosa for these examples.

Median is the center line inside the box and is 5

IQR is space between the first and third quartile which are the edges of the box. They are about 4.8 for the first quartile and 5.2 for the third

QUIZ QUESTION::

Match the appropriate Iris type to the statement(s) that are true for its Sepal Length.

ANSWER CHOICES:

Virginica

Versicolor

Setosa

Setosa

Virginica

All

None

Sepal Length	Iris Type
The largest Range
The smallest Interquartile Range
Median is approximately 5
Third quartile is approximately 6.3
Approximately Symmetric
The largest sepals on average.

SOLUTION:

Sepal Length	Iris Type
The largest Range	Virginica
The largest sepals on average.	Virginica
Third quartile is approximately 6.3	Versicolor
The smallest Interquartile Range	Setosa
Median is approximately 5	Setosa
The smallest Interquartile Range	Setosa
Median is approximately 5	Setosa
The largest Range	Virginica
The largest sepals on average.	Virginica
Approximately Symmetric	All

Using the same flower data, select all of the below statements that MUST be true.

All setosa flowers have a shorter sepal length than versicolor flowers.

All virginica flowers have larger sepal length than setosa flowers.

More than 75% of the virginica flowers have a larger sepal length than the largest setosa flower.

More than 50% of setosa flowers have larger sepal length than the shortest versicolor flower.

More data was collected on versicolor flowers than on virginica flowers.

More data was collected on setosa flowers than on virginica flowers.

SOLUTION:

• More than 75% of the virginica flowers have a larger sepal length than the largest setosa flower.
• More than 50% of setosa flowers have larger sepal length than the shortest versicolor flower.