# Quantitative Reasoning

1. Let’s say you are helping some friends with a fundraiser for something (name a good cause). Make up a game you could use at the fundraiser. The game must have at least 3 different levels of winning opportunities but could have more. Be creative!

a. How much does the game cost for one play?

b. Give details how someone could win the game. Remember there must be at least 3 different levels of winning opportunities for the player.

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c. Find the odds for winning each of the levels you established. Find the odds for losing.

d. Make a probability distribution table that shows each of the possible outcomes, the net gain for each outcome, and the probability of each outcome. Look at the 3-5 Worksheet if you need to see an example of the table.

e. Find the expected value for someone playing the game one time.

f. Write a paragraph with at least 200 words describing how to play the game, what the expected value means in this situation, who the game benefits (player or vendor), and any other information we need to understand.

2. The data you need for this project are on the last three pages. There are three sets of data given at the end of this checkpoint. You will choose just one dataset to use for this project. If you have another dataset you would like to use, that is great (think 20 data points)! Send it to Tammi for quick approval. Although it is not required, feel free to use technology with this problem.

a. Find the measures of center (mean, median, mode, range).

b. Find the 5-number summary and create a box plot. Use the 1.5 IQR to determine if any of the data points are outliers.

c. Find the standard deviation for the data (use Desmos) and describe what this tells you about the data.

d. Create a graph (bar graph, histogram, pie chart, line graph) that best showcases the data and supports your summary in part e.

e. Write a paragraph with at least 200 words explaining what the data shows. What conclusions or summaries can you make about the data? Use all the information you created from parts b, c, and d. What type of sampling methods do you think were used to collect the data? What other questions does the data raise? Ues this data below to solve the question

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