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fireflies145
fireflies145
22.11.2020 • 
Mathematics

Project 1 Organizing, Summarizing, and Describing Data using Excel

Qualitative data:
1. Find qualitative data set that you would like to organize using visual tools such as bar graph and pie chart
2. Construct a frequency table and use it to create a bar graph for your qualitative variable using Excel.
3. Construct a pie chart for the qualitative variable using Excel.

Quantitative data:
1. Find a survey that analyzes value of a statistical variable.
2. Construct a histogram for your survey’s numerical data using Excel. Make sure that your histogram has an appropriate width for the classes. Explain why your choice for the width makes sense for your specific data.
3. Create a boxplot for the variable using Excel.
4. Write a description of each graph (What does each graph show you about your data, that you won’t be able to easily see in the other graphs?).
5. Find the following sample statistics for the data set: Minimum value, Maximum value, Mean, Median, Mode, Q1, Q3, Range, IQR, and Standard Deviation. For calculations use Excel. For each of these values write a sentence explaining what it tells you about the results in your survey. Please do not write about how they are calculated. The purpose of this exercise is to make sure that you understand the meaning for each of these statistics (not how you find it).
6. Describe and analyze the numerical data. What is the overall shape of the data set? Based on your answer, determine which measure of center (mean, median or mode) you think is best and why. Determine which measure of spread (IQR / standard deviation or range) you think is best and why. Write a sentence explaining the real meaning of the center you found and a sentence explaining the real meaning of the spread you have found for your data.
7. Explain all your findings from the questions above. What did you learn about the population of your interest from your data analysis?

Binomial Distribution:
1. Choose an experiment that will follow binomial distribution.
Example: An urn contains 1000 balls, 100 are green and 900 are white. One ball is chosen from the urn 100 times with replacement.
2. Use Excel to find the probability of getting a certain number of successes in a certain number of trials where the probability of success on each trial is fixed.
3. Use the same example to calculate cumulative probability.
4. Redo 2 and 3 again using Excel but use the normal approximation (normal.dist).
5. How do the answers compare?
6. Discuss use of normal approximation to the binomial distribution.

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