Chapter 11.6, Problem 20PPSE

Solution

a.

ToGraph:A box and whisker plot of the data for length of path.

Length of path	Intensity
6	F3
9	F3
4	F2
37	F5
7	F2
12	F3
8	F2
7	F2
15	F4
39	F4
1	F2
22	F3
15	F3
8	F2
13	F3
2	F2

Given information:

The given table is shown below:

Length of path	Intensity
6	F3
9	F3
4	F2
37	F5
7	F2
12	F3
8	F2
7	F2
15	F4
39	F4
1	F2
22	F3
15	F3
8	F2
13	F3
2	F2

Graph:

Consider the given information.

Step 1: Open ti-83 calculator. Press STAT then go to Edit option and enter the values.

  

Step 2: Press 2^nd key and press Y= key select Plot 1 and press ENTER key then press On and select box plot.

  

Step 3: Press WINDOW key as use the setting shown below:

  

Step 4: Press GRAPH key.

  

Interpetation: The outliers are 37 and 39.

b.

To identify:The outliers and remove them from the data.

The outliers are 37 and 39.

Given information:

The given diagram is shown below:

  

Explanation:

Consider the given information.

An outlier is a value in a random sample from a population that is significantly different from the other values.

From the graph it can be observed that the outliers are 37 and 39.

Now remove them, so the required graph is shown below:

  

c.

To identify: How does the removal of outlier affect the box and whisker plot also identify how does it affect the median of the data set.

With outliers 37 and 39, median of the data is 8.5 miles but after removing the outlier median of the data reduces and become 8 miles.

Given information:

The outliers are 37 and 39.

Explanation:

Consider the given information.

The box and whisker plot before removing outliers was:

  

Here it can be observed that the median was 8.5

After removing outliers, the median was 8.

  

With outliers 37 and 39, median of the data is 8.5 miles but after removing the outlier median of the data reduces and become 8 miles.