Minitab Handout Ch2 - Ch3 afPDF

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Math 227 Elementary Statistics-Minitab Handout Ch2 and Ch3

Ch2 Frequency Distributions and Graphs & Ch3 Data Description 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. ***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 thesession window.

1

Math 227 Elementary Statistics-Minitab Handout Ch2 and Ch3 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.Pareto Chart of Blood Type25 100 20 80Count

60 40 20 0

10

5

0 Blood Type Count Percent Cum %

8 34.8 34.8

O

7 30.4 65.2

B

4 17.4 82.6

A

4 17.4 100.0

AB

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.9 8 7 6Count

Pareto Chart of Blood Type

5 4 3 2 1 0 Blood Type Count Percent Cum % O B A AB

2

8 34.8 34.8

7 30.4 65.2

4 17.4 82.6

4 17.4 100.0

Percent

15

Math 227 Elementary Statistics-Minitab Handout Ch2 and Ch3 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.O 34.8%

Pie Chart of Blood TypeCategory A AB B O

A 17.4%

AB 17.4%

B 30.4%

3

Math 227 Elementary Statistics-Minitab Handout Ch2 and Ch3 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.

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 EExample

c02Chapter 2

S02Section 2

02Example 2

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 newworksheet.

4

Math 227 Elementary Statistics-Minitab Handout Ch2 and Ch3 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.

5

Math 227 Elementary Statistics-Minitab Handout Ch2 and Ch3 Step 5. Click on Data Options. Click the tab for Group Options. Uncheck both options. Click OK. Step 6. Click OK.Record High Temperatures

The histogram is displayed in the graphwindow.Frequency

14 12 10 8 6 4 2 0

104

112

120 TEMPERATURES

128

136

Your Name Date

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.Record High Temperatures20

graph window.

Frequency

The edited histogram is displayed in the

15

10

5

0

99.5

104.5

109.5

114.5 119.5 TEMPERATURES

124.5

129.5

134.5

Your Name Date

6

Math 227 Elementary Statistics-Minitab Handout Ch2 and Ch3 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. Class boundaries 99.5104.5 104.5109.5 109.5114.5 114.5119.5 119.5124.5 124.5129.5 129.5134.5 X(Class Midpoint) Frequency 10 2 107 8 112 18 117 13 122 7 127 1 132 1

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.

7

Math 227 Elementary Statistics-Minitab Handout Ch2 and Ch3 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 graphwindow.

Frequency Polygon of Temperatures20

15

f

10

5

0 100 110 X 120 130 140

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.f

Frequency Polygon of Temperatures20

15

10

5

0 97 102 107 112 117 X 122 127 132 8 137

Math 227 Elementary Statistics-Minitab Handout Ch2 and Ch3 d) Construct an Ogive

The ogive (cumulative frequency graph) can be constructed byfollowing 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.

O give of Record High Temperatures

Step 3. Click Labels. Change the title. Ogive of Record High Temperatures. Step 4. Click OK.f

50 40 30 20

The Ogive is displayed in the graph window.Step 5. Double click on the x-scale.

10 0 100 Your Name Date 105 110 115 X 120 125 130 135 0

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.50 40 30f

Ogive of Record High Temperatures

20

10 0 99.5 Your Name Date 104.5 109.5 114.5 X 119.5 124.5 129.5 0

9 134.5

Math 227 Elementary Statistics-Minitab Handout Ch2 and Ch3

3. The maximum numbers of sit-ups completed by the participants in an exercise class after 1 month in the program are recorded: 24 31 54 62 36 28 37 55 18 27 58 32 37 41 55 39 56 42 29 35 a) b) c) d) e) f) Construct a stem and leaf plot. Calculate the sample mean and sample standard deviation. Find the five-number summary. Construct a boxplot Identify any outlier(s) obtained from the boxplot. Use the Interquartile range to determine whether 62 is an outlier or not. Explain.

***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, and enter 10 (the class width). Step 4. Click OK.

The stem and leaf plot is displayed in the sessionwindow

10

Math 227 Elementary Statistics-Minitab Handout Ch2 and Ch3 b) Calculate the sample mean and sample standard deviation. Step 1. Click on Stat>Basic Statistics>Display Descriptive Statistics.

Step 2. Click on the Variable box and double click C1 Sit Ups

Step 3. Click Statistics and check option boxes for Mean, Standard deviation, Variance, First quartile, Median, Third quartile, Interquartile range, Minimum, Maximum, and N nonmissing. *Uncheck other options. Click OK Step 4. Click OK.

The results are displayed in the session window.The sample mean value is 39.80. The sample standard deviation is 12.76.

c) Find the five-number summary.

Follow the same procedures in part b) and obtain thefive-number summary.Minimum 18.00 Q1 29.50 Median 37.00 Q3 54.75 Maximum 62.00

11

Math 227 Elementary Statistics-Minitab Handout Ch2 and Ch3 d) Construct a boxplot Step1. Click on Graph>Boxplot Click OK to select simple box plot.

Step 2. Click on Graph Variables and double click C1 Sit Ups

Step 3. Click on Data View and check Interquartile range box and Outlier symbols in the data display menu. Step 4. Click OK.

The boxplot is displayed in the graph window.60

Boxplot of Sit Ups

Note: The boxplot can be transposed horizontally. Step 1. Do

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