Statistics Lab Assignment: Analyzing Heights Using Empirical Rule and Normal Distribution, Assignments of Mathematics

This lab assignment focuses on analyzing height data using statistical methods. Students collect height data, calculate mean and standard deviation, and apply the empirical rule to interpret the distribution of heights. The assignment also explores the concept of normal distribution and its application to the data. This lab provides practical experience in data analysis and statistical interpretation.

Typology: Assignments

2024/2025

Available from 02/14/2025

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Week 5 Lab Assignment
Name: Rebecca Dorcely Instructor Name: Professor Tesar
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.)
53 58 60 67 67 67 68 69 72 74
58 75 42 50 51 80 75 75 69 70
Mean Height in Inches 65.0
Sample Standard
Deviation in
inches
10.13
Your Height in Inches 58
pf3
pf4
pf5

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Download Statistics Lab Assignment: Analyzing Heights Using Empirical Rule and Normal Distribution and more Assignments Mathematics in PDF only on Docsity!

1 Week 5 Lab Assignment Name: Rebecca Dorcely Instructor Name: Professor Tesar 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.) 53 58 60 67 67 67 68 69 72 74 58 75 42 50 51 80 75 75 69 70 Mean Height in Inches 65. Sample Standard Deviation in inches

Your Height in Inches 58

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?

  • I chose the participants the way that I did because they were around during a family gathering. I would consider this method to be convenience sampling. Convenient that they were accessible during the time of the study. 2. What part of the country did your study take place in?
  • Kennesaw, Georgia, USA 3. What are the age ranges of your participants?
  • The ages ranged from 12- 50 4. How many of each gender did you have in your study?
  • 5 Males and 5 Females 5. What are other interesting factors about your group?
  • All adults from the ages of 40-50 were born outside of the USA. Step 3. Data Analysis 2

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). 68% 54.87 75. 95% 44.74 85. 99.7% 34.61 95. 2. What do these values tell you? Write complete sentences explaining what the values in the Empirical Rule tell you in the context of the data.

  • This tells me that 68% of the heights amongst my family members will fall between 54.87-75.13, 95% will fall between 44.74-85.26 inches, and finally 99.7% will fall between 34.61- 95.39 inches. 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.