Simulation Report Writing: Choc Chip Cookies

In your report you will need the following headings and sub-headings.

Name: Lacey Elliott Title: Choc Chip Cookie report

Materials: - Pen - Calculator - Book (paper)

Method: First we had to find a way to create random numbers. To do this we are going to use our Calculators. This is how you create random numbers using a calculator:

1) On your calculator press MATH, which is below the green key. 2) Arrow over three times until you reach PRB 3) Arrow down to 5. randlnt( Then press ENTER 4) After the parentheses, enter: lowest value, and your highest value) Eg. randlnt(0,100) Your screen will now display random counting numbers between 1 and 100 if you keep pressing ENTER.

Once you know how to do that you create a table. The table should have twelve rows and three columns. So you can have the cookie number (amount of cookies), Chips (amount of choc chips needed) and the totals. The table should look a bit like this.

COOKIE CHIPS TOTAL

1

2

3

4

5

6

7

8

9

10

TOTAL

Now you go back to your calculator and bring up the random numbers, your lowest value should be 1 and your highest value should be 7. Now you start pressing ENTER on your calculator so you can begin getting your results. The aim is to get seven chips into each cookie, if you get a 4 on your first cookie you still go on to your second cookie until you have done all 10. When you have done all ten you go back to number 1. Let’s say you now get a 5, remember you had a 4 before so your cookie will now have 9 choc chips in it, this means you don’t have to have another random number for this cookie. You continue to get your random numbers and adding on Choc Chips to your cookies, remembering to record all this Data in your table. Once all the cookies have 7 Choc Chips in them you add up the total amount of Chips in each

The total amount of chips in each individual cookie.

The random numbers from your calculator (chips used)

The Cookie number, determining which cookie it is.

The total amount of choc chips needed for all 10 cookies.

cookie, then using that data you can count all the chips you used within your first batch of cookies. You continue doing this same thing five or six times. That means you will have 5 batches of ten cookies.

Data Collected through playing the game:

The Data I collected throughout the game was my five tables recording the amount of Choc chips used to make the cookies. This is what the tables recorded:

Cookie Chips Total

1 7, 7

2 5,4, 9

3 1,6, 7

4 3,3,4, 10

5 4,5, 9

6 2,4,3, 9

7 2,1,7, 10

8 7, 7

9 7, 7

10 5,7, 12

TOTAL 87

Cookie Chips Total

1 2,6, 8

2 3,6, 9

3 7, 7

4 5,3, 8

5 4,6, 10

6 2,3,7, 12

7 7, 7

8 6,6, 12

9 4,6, 10

10 1,5,5, 11

TOTAL 94

BATCH 1)

BATCH 2)

Cookie Chips Total

1 1,5,7, 13

2 4,4, 8

3 1,2,7, 10

4 3,5, 8

5 5,3, 8

6 5,4, 9

7 3,4, 7

8 3,2,2, 7

9 3,3,4, 10

10 2,4,5, 11

TOTAL 91

Cookie Chips Total

1 2,2,6, 10

2 5,2, 7

3 5,4, 9

4 2,6, 8

5 3,1,4, 8

6 3,2,6, 11

7 7, 7

8 1,1,6, 8

9 5,3, 8

10 7, 7

TOTAL 83

BATCH 3)

BATCH 4)

Cookie Chips Total

1 3,1,3, 7

2 2,3,5, 10

3 5,5, 10

4 5,2, 7

5 6,3, 9

6 4,3, 7

7 6,5, 11

8 5,5, 10

9 3,3,4, 10

10 7, 7

TOTAL 89

Analysis:

1. What was the average number of chips needed for the 10:7 simulation? The number of Chips needed to make sure the family is happy is 89 Choc Chips per Batch, which contains 10 cookies. This is how I worked out the average. 87 + 94 + 91 + 83 + 89 = 444 444 ÷ 5 = 88.8

2. On average how many chips were wasted for the 10:7 simulation? If you had 7 Choc chips in each cookie, which is the recommended amount you would need 350 Choc Chips for 5 batches. The average for this is: 70 + 70 + 70 + 70 + 70 = 350 350 ÷ 5 = 70 This means the amount of chips wasted was: 88.8-70 = 18.8 Chips overall this means there was 19 chips wasted.

3. On average how many chips did each cookie have? On average the cookies had 9 chips in them. This is how I worked this out: Total of cookies in each batch ÷ number of cookies = average number of chips used for this Batch BATCH 1) BATCH 2) BATCH 3) 87÷10= 8.7 94÷10=9.4 91÷10= 9.1 = 9 =9 =9

BATCH 4) BATCH 5) 83÷10=8.3 89÷10= 8.9 =8 = 9

Discussion:

1. How could this simulation have been re-created using a deck of cards? (Hint: You can take some of the cards out of the deck) This simulation could have easily been re-created using a deck of cards. You could take out the 8’s, 9’s, 10’s, Jacks, Queens, and Kings. And just replace one with the Aces. Now instead of having a calculator to create random numbers, you have your cards! Just turn them upside down, shuffle them and randomly flip them over to create your random numbers.

BATCH 5)

2. How would you run a simulation for a 6:3 requirements? I would run it just the same. But using different numbers of course. I would create all my data the exact same. Using the calculator to create the random numbers.

3. Were the results what you expected before running your simulation? Not really, I was expecting the results to be a little higher. I wasn’t too far off it though.

Conclusion: From this task I learnt alot about probability. I learnt how to work out averages, how to use and create Random numbers using a calculator, how to create random numbers using a deck of cards, what random numbers actually are, how to work out frequency and how to create data using random numbers. This task was all pretty good! But if I had the choice I would have just made it one or two batches, but I suppose you make it more accurate the more you do. I found learning how to create the random numbers was interesting, and very good because it will be very useful for other things.