Question: Go to https://www.random.org/dice/ for this part. You could use dice, but you would have to roll the die or dice more than 150 times, so it is not recommended.

1. When you get to https://www.random.org/dice/ choose roll "10" dice.
2. Roll the 10 dice 15 times. But every time you roll, get the mean of the roll. Since you have 10 dice in each roll, you can find the mean by adding up all the dice and dividing by 10.
3. As you do this, complete the chart below on separate paper (See video " Dice problem for midterm2" for help on completing this chart.

   Roll	Mean
   1st
   2nd
   3rd
   4 th
   5 th
   6 th
   7 th
   8 th
   9 th
   10 th
   11 th
   12 th
   13 th
   14 th
   15 th

4. Complete the chart below (on separate paper) which compares the mean and standard deviation of your sample and the population. See video " Dice problem for midterm2 " for help on completing this chart.

   	Population	Sample Means
   Mean
   Standard Deviation

5. Looking at the data in the small chart you just created, is the population mean very different from the "mean of the means" (ie. the mean of the "Sample Means)? Why do you think that is? Explain this in terms of the dice and what you would expect to happen when you roll 10 dice and get the mean over and over again.
6. Use the numbers in your mean column from the 15 rolls from your chart in #5c to complete the following frequency distribution below:

   Class	Frequency
   1-1.9
   2-2.9
   3-3.9
   4-4.9
   5-5.9
   6-6.9

7. Use the frequency distribution to create a frequency histogram. Label your axes.
8. What is the shape of your histogram?
9. Discuss why your standard deviation of the population and standard deviation of the "Sample Means" were so different. Do this by talking about the shapes of your histogram in part (g) with the shape of the population (see image below).
   
10. What is your tallest bar and explain what it means (ie. what does the height represent for this particular bar and how does this relate to the particular class this tallest bar sits on).
11. Do you have any bars in the first or last class? If you were to conduct this experiment over and over again, do you expect that you would have any bars in the first or last class? Why or why not?
12. If the tallest bar had been in the last class, what would you say about the dice? Why?

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