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.
3. Go to Modules in the course room and click on Week 5 Lesson: Normal Distribution.
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?
–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
–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.
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.
values for the term by Monday of Week 5.
(NOTE: This is NOT the data used in the lab video, which is about midterm
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
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.
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?
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
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
#N/A
#N/A
#N/A
(Returns more than one mode)

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