Exercise 9 Page 216

Practice makes perfect

The given table shows the number of painters and sculptors in seven art schools.

	Enrollment
Number of Painters	30	43	47	30	11	48	20
Number of Sculptors	25	33	50	27	6	58	45

Jashar makes an incorrect scatter plot to represent the data. We will identify the error he made. To do so we will draw the scatter plot ourselves. We will begin by writing the values in the table as ordered pairs.

	Enrollment
Number of Painters	30	43	47	30	11	48	20
Number of Sculptors	25	33	50	27	6	58	45
Ordered Pair	( 30, 25)	( 43, 33)	( 47, 50)	( 30, 27)	( 11, 6)	( 48, 58)	( 20, 45)

Now we will plot these points to complete the scatter plot.

From here, when we look at the given scatter plot we can see that Jashar confused the x- and y-variables.

Now we will explain the relationship between the number of painters and the number of sculptors enrolled in the art schools.

Since the y- values tend to increase as the x-values increase, the scatter plot shows a positive association between the number of painters and the number of sculptors.

Here we will identify the outliers in Jashar's scatter plot. Let's first define an outlier.

Outlier
A data point that is significantly different from the other values in the data set

By using this definition we can determine the outliers in the scatter plot.

These demonstrated points are outliers because they have significantly different values than the other values in the data set.

Subchapter links

Do You Understand? p.214

Do You Know How? p.214

Practice & Problem Solving p.215-216

Assessment Practice p.216

Exercise 9 Page 216

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