The following data are commute times (in minutes) from your professor's home to work for 25 consecutive work days. The data are in the Minitab column...

The following data are commute times (in minutes) from your professor's home to work for 25 consecutive work days. The data are in the Minitab column "Commute Times."

18.1 18.2 18.0 17.9 17.8 18.0 17.8 18.1 18.2 18.0 18.3 18.5 18.0 17.5 17.8 18.3 18.6 18.8 17.4 18.6 37.4 18.7 18.0 17.2 19.1

(a) Construct a histogram in Minitab of your professor's commute times. Refer to Exercise 1 for instructions on constructing a histogram in Minitab.

Make sure your histogram includes the following:

•  Cutpoints instead of midpoints
•  Appropriate title
•  Appropriate time units identified in the plot

ACTIVITY SHEET: DESCRIBING DATA GRAPHICALLY 6

 Footnote explaining which endpoint is contained in the histogram bins

(b) The 21st commute time, 37.4 minutes, reflects a day when your professor left home without his laptop computer and had to turn around to retrieve it. Remove this outlier from the data set and reconstruct the histogram.

Minitab

1. 1 In the "Commute Times" column, click on row 21. Press the Delete key to convert the data point to an asterisk.
2. 2 Right-click anywhere inside the histogram and select Update Graph Automatically.

Minitab Express

1. 1 In the "Commute Times" column, click on row 21. Press the Delete key to convert the data point to an asterisk.
2. 2 Select Make Similar located above the Output Pane.
3. 3 Click OK.

(c) How many days did your professor's commute time fall between 18 minutes (inclusive) and 18.5 minutes (exclusive); i.e. 18 ≤ commute time < 18.5? This can be found by hovering over the appropriate bin(s) in your histogram. Recall that Minitab includes its left endpoints in each bin frequency count.