Normal Distribution Project

Directions: In this portfolio project, you will be collecting a set of data and analyzing the characteristics of the distribution. Provide

yourself with plenty of time to complete step 1.

Part 1

Collect a set of data with at least 30 data points. The data should be quantitative, which means that it should be measured using

numbers. You can be as creative as you'd like, but here are some suggestions for things that you can survey.

the heights of a large number of people

the number of pages in a set of books on a bookshelf

the number of hits earned by different professional baseball players in a season

Or if you prefer you can use the data below:

Tik Tok videos viewed by a student over 30 days:

7, 11, 6, 8, 8, 10, 7, 6, 13, 7, 6, 9, 11, 8, 14, 8, 5, 8, 6, 12, 3, 10, 8, 5, 9, 4, 9, 10, 12, 7

Enter your data below or state if you will use the provided Tik Tok data

Part 2

Do a visual representation of your data. If the data is continuous, use a histogram. If the data is discrete, use a bar graph.

Normal Distribution Project

Make sure to label the axes with appropriate titles and incorporate the appropriate scale on each axis. Use the graph paper provided

below or your own if you prefer.

Part 3

Respond to the following questions.

1. What are the mean and standard deviation of the set of data? Show your calculations.

Normal Distribution Project

2. Does the data follow a normal distribution? Be sure to mathematically justify your answer.

3. Answer one of the following questions.

a. If your sample follows a normal distribution, does this make sense to you? Explain why.

b. If your sample does not follow a normal distribution (e.g., it could be skewed left or right, have a uniform distribution, or

have some other shape), then why might this be the reason?

4. Describe your survey process. What are some sources of possible bias in your sample? Alternatively, what did you do to

ensure a random sample?

5. What is a set of data that you would like to study in the future? How could you go about ensuring an unbiased random

sample?