In this project you will conduct a simple experiment by flipping a coin. Let x = number of heads in n coin flips. You need to record all your results, as you will be required to construct a frequency table as well as a histogram.
- Flip a coin 10 times and record the number of heads.
- Repeat step (1) 50 times. Each time record the number of heads. This means you will have collected 50 data points (50 times ten coin flips)
- Construct a frequency table where you count the frequency of 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 heads.
- Construct a histogram of the frequency table.
Explain what type of distribution you see. Is the distribution skewed or normal?
Now add up the number of heads for all the 50 trials.
- Report the total number of heads.
- 50 sets of 10 coin tosses, each, that means you flipped the coin 500 times. Theoretically the probability of heads at each individual toss is 1/2.
- What is the expected mean number of heads?
- What is the standard deviation?
- How many number of heads would be considered usual/ordinary?
Recall lesson from Binomial Distribution as well as the fact that
Analyze the “importance” of this graph. You need to keep this discussion civil. This is not a political debate. This analysis is strictly for the purpose in understanding how message are conveyed using statistical tools.
Submit your response by direct text entry OR by uploading a PDF of your work.
The submission should contain:
- data containing the number of heads for each of the 50 trials of 10 coin flips
- frequency table summarizing the 50 collection of number of heads
- Histogram of the frequency table
- Sum of the total number of heads for the 500 coin flips
- Your calculations in answering questions of the second experiment
Your submission must be neat and legible. Be very detail oriented and submit a well written project. I will not accept work that looks as doodles or scratch paper work.