# Probability and Normal Distribution

Lab 5 Lecture Notes

You will need two excel spreadsheets in order to complete this lab.

1. Go to Modules in the course room and click on Week 3 Lesson: Measure of Central

Tendency and Variation.

2. Download the excel spreadsheet template needed for the lab.

3. Go to Modules in the course room and click on Week 5 Lesson: Normal Distribution.

4. Download the excel spreadsheet template needed for the lab.

Data Set: Ten Grades on the Midterm Exam

50

86

68

86

74

80

77

78

80

90

•

Create a description spreadsheet to describe the students surveyed.

a. How did you choose the participants for your study (sampling method)?

Review Different Types of Sampling Methods

1. Cluster: ____________________________________________________________

2. Stratified: ___________________________________________________________

3. Systematic: _________________________________________________________

4. Convenient: _________________________________________________________

5. Simple Random: _____________________________________________________

b. What part of the country did your study take place in?

c. What are the age ranges of your participants?

d. How many of each gender did you have in your study?

e. What are other interesting factors about your group?

–Take a Screenshot of your Description Spreadsheet and provide it below.

–Take a Screenshot of your Preliminary Calculations and provide it below.

•

Preliminary Calculations

Mean

Sample Standard Deviation

Score on the Midterm

•

Let’s Compare Our Score!

How does your score compare to the mean (average) height of the group that you

surveyed? Is your score more, less, or the same as the mean of your group?

Empirical Rule

Determine the 68%, 95%, and 99.7% values of the Empirical Rule in terms of the ten

scores in your midterm study.

–Take a Screenshot of your Empirical Rule Sheet and provide it below

What do these values tell you?

Normal Distribution

–Take a Screenshot of your Normal Distribution Sheet and provide it below

Based on your study results, what percent of the study participants scored lower than

you? What percent scored better?

Recap of Week 5 Lab

Week 5 Lab Assignment

Name:________________________

Instructor Name: _______________

Please use this template to help answer the questions listed in the lab

instructions. The “steps” below refer to the steps listed in the lab instructions.

Type your answers and post your screenshots in the spaces given below. Then,

save this document with your name and submit it inside the course room.

Step 1. Gather Data

Your instructors will post 10 data values to use for this lab. The data values

represent the HEIGHTS of 10 people.

Please reach out to your instructor if you did not receive the assigned 10 data

values for the term by Monday of Week 5.

(NOTE: This is NOT the data used in the lab video, which is about midterm

grades. Do not use the midterm grades data.)

1a. Gather 10 MORE of your own to add to the 10 provided by your instructor.

Do the following: Survey or measure 10 people to find their heights. Determine

the mean and standard deviation for the 20 values by using the Week 3 Excel

spreadsheet. (Round statistics to two decimals.)

Mean Height in Inches

Sample Standard Deviation

in inches

Your Height in Inches

1

1b. Post a screen shot in the space BELOW of the portion of the spreadsheet

that helped you determine these values. Please list the 10 heights your

professor provided first followed by the 10 heights you collected. There

should be 20 values to determine the mean and sample standard deviation.

1c. Answer the following two questions (Answer in complete sentences).

How does your height compare to the mean (average) height of the 20 values? Is

your height taller, shorter, or the same as the mean of the sample?

2

Step 2. Data Characteristics

Answer the following questions to give some background information on the

group of people you used in your study. Write in complete sentences.

1. How did you choose the participants for your study? What was the sampling

method: systematic, convenience, cluster, stratified, simple random?

2. What part of the country did your study take place in?

3. What are the age ranges of your participants?

4. How many of each gender did you have in your study?

5. What are other interesting factors about your group?

3

Step 3. Data Analysis

Answer the following questions. Use the Week 5 Excel spreadsheets to help

analyze the data.

Empirical Rule

1. Determine the 68%, 95%, and 99.7% values of the Empirical Rule in terms of

the 20 heights in your height study. (Use the Empirical Rule tab from the

spreadsheet).

2. What do these values tell you? Write complete sentences explaining what the

values in the Empirical Rule tell you in context of the data.

3. Take a Screenshot of your Empirical Rule Sheet (Week 5 Spreadsheet) and

provide it below

Normal Distribution

1. Take a Screenshot of your Normal Distribution Sheet and provide it below

4

2. Based on your study results, what percent of the study participants are

shorter than you? What percent are taller?

Step 4. Save and submit this document

Be sure your name is on the Word document, save it, and then submit it. In the

assignment module, click “start assignment” and then “upload file” and “submit

assignment”.

5

Put values in blue cells; output or answers in YELLOW cells

Data

1

1

2

2

4

5

6

9

11

Mean

Median

Mode

Sample Variance

Sample Standard Deviation

Population Variance

Population Standard Deviation

Range

Count (n)

Min

Quartile 1

Median

Quartile3

Max

Interquartile Range (IQR)

4.5556

4.0000

1.0000

12.7778

3.5746

11.3580

3.3702

10.0000

9.0000

1.0000

1.5000

4.0000

7.5000

11.0000

6.0000

2

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