# Ch2 Frequency Distributions and Graphs & Ch3 Data ... ... Ch2 Frequency Distributions and Graphs & Ch3

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• Math 227 Elementary Statistics-Minitab Handout Ch2 and Ch3

1

1. Type in all the blood types in column C1 of the worksheet. A B B AB O O O B AB B B B O A O A O O O AB AB A O B A

a) Make a Categorical Frequency Table b) Construct a Pareto chart c) Construct a pie graph.

CChh22 FFrreeqquueennccyy DDiissttrriibbuuttiioonnss aanndd GGrraapphhss && CChh33 DDaattaa DDeessccrriippttiioonn

***Enter the given data into C1 and name the column Blood Type.

a) Making a Categorical Frequency Table

Step 1. Select Stat>Tables>Tally Individual Values

Step 2. Double-click C1 in the Variables list

Step 3. Check the boxes for the statistics: Counts, Percents, and Cumulative percents.

Step 4. Click OK

☺The categorical frequecny table is displayed in the session window.

• Math 227 Elementary Statistics-Minitab Handout Ch2 and Ch3

2

b) Construct a Pareto chart Step 1. Click on Stat > Quality Tools > Pareto Chart

Step 2. Click the option to Chart defects data in, and double click “C1 Blood Type”

Step 3. Click OK

☺The pareto chart is displayed in the graph window.

Note: The cumulative percent chart will disappear by doing the following: Step 1. Click on Stat > Quality Tools > Pareto Chart >Options… Step 2. Click “Do not chart cumulative percent” option

Step 3. Click OK

☺ The cumulative percent chart disappears.

C ou

nt

P er

ce n

t

Blood Type Count

17.4 Cum % 34.8 65.2 82.6 100.0

8 7 4 4 Percent 34.8 30.4 17.4

ABABO

25

20

15

10

5

0

100

80

60

40

20

0

Pareto Chart of Blood Type C

o un

t

Blood Type Count

17.4 Cum % 34.8 65.2 82.6 100.0

8 7 4 4 Percent 34.8 30.4 17.4

ABABO

9

8

7

6

5

4

3

2

1

0

Pareto Chart of Blood Type

• Math 227 Elementary Statistics-Minitab Handout Ch2 and Ch3

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C) Construct a Pie chart Step 1. Click on Graph>Pie Chart.

Step 2. Click on the inside of the Categorical Variables box, double click “C1 Blood Type”

Step3. Click on Labels> Slice Labels Choose Category name and Percent Check “Draw a line from label to slice”

Click OK.

Step 4. Click OK.

☺The pie chart is displayed in the graph window. 34.8%

O

30.4% B

17.4% AB

17.4% A

Category A AB B O

Pie Chart of Blood Type

• Math 227 Elementary Statistics-Minitab Handout Ch2 and Ch3

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a) Open the worksheet file containing the data from Example 2-2, the high temperature for the 50 states (page 39).

Step1. Click File> Open Worksheet

Step 2. Choose the minitab_portable-datasets folder.

Step 3. Select “E c02-S02-02”

Note: Be sure to choose Minitab Portable[*.mtp] as the Files of type.

Step 4. Click Open.

☺The data (high temperature for 50 states) is copied in a new worksheet.

2. Graph for Quantitative Data a) Open the worksheet file containing the data from Example 2-2, the high temperature for the 50 states (page 39). b) Construct a histogram which displays 7 classes with the class width 5. Use 99.5 as the first lower class boundary. c) Construct a frequency polygon. d) Construct an ogive.

E c02- S02- 02 Example Chapter 2 Section 2 Example 2

• Math 227 Elementary Statistics-Minitab Handout Ch2 and Ch3

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b) Construct a Histogram which displays 7 classes with the class width 5. Use 99.5 as the first lower class boundary.

Step 1.Select Graph>Histogram>Simple

Step 2. Click on Graph variables and double click “C1 TEMERATURES”

Step 3. Click Scale… Select the Gridlines tab. Check Y major ticks and X major ticks.

Select the Y-Scale Type tab. Check Frequency

Click OK.

Step 4. Click Labels. Type the title -Record High Temperature

Type Your name and Date in the footnotes Click OK.

• Math 227 Elementary Statistics-Minitab Handout Ch2 and Ch3

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Step 5. Click on Data Options. Click the tab for Group Options. Uncheck both options.

Click OK.

Step 6. Click OK.

☺The histogram is displayed in the graph window.

Sep 7. Double click on the x-scale.

☺The Edit Scale dialgoue is displayed.

Step 8. Click the tab for Binning, then the option for Cutpoint.

Click the button for Midpoint/Cutpoint positions.

Type in the textbox: 99.5:134.5/5. This is the shortcut for entering the sequence of 99.5 to 134. 5 by 5. These are boundaries for each class.

Step 9. Click OK.

☺The edited histogram is displayed in the graph window.

TEMPERATURES

Fr e

q u

e n

cy

136128120112104

14

12

10

8

6

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2

0

Record High Temperatures

TEMPERATURES

Fr e

q u

e n

cy

134.5129.5124.5119.5114.5109.5104.599.5

20

15

10

5

0

Record High Temperatures

• Math 227 Elementary Statistics-Minitab Handout Ch2 and Ch3

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Class boundaries X(Class Midpoint) Frequency 99.5–104.5 10 2 104.5–109.5 107 8 109.5–114.5 112 18 114.5–119.5 117 13 119.5–124.5 122 7 124.5–129.5 127 1 129.5–134.5 132 1

c) Construct a Frequency Polygon Step 1. Select File>New>Minitab Worksheet.

Step 2. Enter the midpoints of each class in C1 and the corresponding frequencies in C2. Use one midpoint higher (i.e. 137) and lower (i.e. 97). They will be needed to anchor the endpoints.

Step 3. Select Graph>Scatterplot>With Connect line.

Step 4. Double click “C1 f” for Y variables and “C1 X” for X-variables.

Step 5. Click Data View, then the Data Display tab. Check two options: Symbols and Connect line. Click OK.

• Math 227 Elementary Statistics-Minitab Handout Ch2 and Ch3

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Step 6. Click Scale. Click the tab for Gridlines then check the major ticks for X and Y.

Click the tab for Reference Lines then type 0 for the Y positions.

Click OK twice.

☺The frequency polygon is displayed in the graph window.

Step 7. Double click on the x-scale.

☺The Edit Scale dialgoue is displayed. In the Scale tab, click the option for Positions of ticks. Type 97:137/5

Click OK.

Step 8. Click OK.

☺The edited frequency histogram is displayed.

X

f

140130120110100

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15

10

5

0

Frequency Polygon of Temperatures

X

f

13713212712211711210710297

20

15

10

5

0

Frequency Polygon of Temperatures

• Math 227 Elementary Statistics-Minitab Handout Ch2 and Ch3

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d) Construct an Ogive

☺The ogive (cumulative frequency graph) can be constructed by following the steps for a frequency polygon with two minor changes: Step 1. Make the following changes in the worksheet.

Change the X values to the class limits from 99.5 to 134.5 by 5.

Change the frequencies to cumulative frequencies.

Step 2. Select Graph>Scatterplot>With Connect line.

Step 3. Click Labels. Change the title. – Ogive of Record High Temperatures.

Step 4. Click OK.

☺The Ogive is displayed in the graph window.

Step 5. Double click on the x-scale.

☺The Edit Scale dialgoue is displayed. In the Scale tab, click the option for Positions of ticks. Type 99.5:134.5/5

Click OK.

Step 6. Click OK.

☺The edited frequency Ogive is displayed.

X

f

134.5129.5124.5119.5114.5109.5104.599.5

50

40

30

20

10

0 0

Ogive of Record High Temperatures

X

f

135130125120115110105100

50

40

30

20

10

0 0

Ogive of Record High Temperatures

• Math 227 Elementary Statistics-Minitab Handout Ch2 and Ch3

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***Enter the given data and name the column Sit Ups.

a) Construct a stem and leaf plot. Step 1. Click on Graph>Stem-and-Leaf.

Step 2. Click on the inside of the Graph variables and double click “C1 Sit Ups”

You have the option of checking Trim outliers if the exercise requires you to do so.

Step 3. Click in the Increment text box, a

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