Coin Toss

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Coin Toss

COIN TOSS

QUESTIONS

Input 10 for Coins
Input 1000 for Tosses
Input 0 for Minimum
Input 10 for Maximum
Press the ENTER key
Run this coin toss 10 times
Write down the Mean number of HEADS each of the 10 times
Write down the Standard Deviations each of the 10 times
Make a table as below
AVERAGE each column — you can use the Average mathlet below,
or simply add all 10 entries and divide by 10
Use the Binomial Bar Chart to calculate the BINOMIAL numbers:
1. How many times should 5 heads turn up?
  Write this number on the BINOMIAL row in the MEAN column
2. How many times should 4, 5, or 6 HEADS turn up?
  Write this number on the BINOMIAL row in the ±1 STD column
3. How many times should 2, 3, 7, or 8 HEADS turn up?
  Write this number on the BINOMIAL row in the ±2 STD column
4. How many times should 1 or 9 HEADS turn up?
  Write this number on the BINOMIAL row in the ±3 STD column
5. How many times should 0 or 10 HEADS turn up?
  Write this number on the BINOMIAL row in the ±4 STD column
Write the Expected number on the BINOMIAL row
Subtract the Expected numbers from the Average numbers
Write the absolute differences on the DIFFERS row
Use the Normal Bell Curve to calculate the NORMAL numbers:
1. You should have tossed 4, 5 or 6 heads about 68% of the time.
  Write this percentage on the NORMAL% row in the ±1 STD column.
  On average, what percentage of the time did you toss 4, 5 or 6 heads?
  Write this percentage on the AVERAGE% row in the ±1 STD column.
2. You should have tossed 2, 3, 7 or 8 heads about 27% of the time.
  Write this percentage on the NORMAL% row in the ±2 STD column.
  On average, what percentage of the time did you toss 2, 3, 7 or 8 heads?
  Write this percentage on the AVERAGE% row in the ±2 STD column.
3. You should have tossed 1 or 9 heads about 4% of the time.
  Write this percentage on the NORMAL% row in the ±3 STD column.
  On average, what percentage of the time did you toss 1 or 9 heads?
  Write this percentage on the AVERAGE% row in the ±3 STD column.
4. You should have tossed 0 or 10 heads about 1% of the time.
  Write this percentage on the NORMAL% row in the ±4 STD column.
  On average, what percentage of the time did you toss 0 or 10 heads?
  Write this percentage on the AVERAGE% row in the ±4 STD column.
What could we do in our experiment to more closely approximate the normal bell curve?

TOSS	MEAN	±1 STD	±(1-2) STD	±(2-3) STD	±(3-4) STD
1
2
3
4
5
6
7
8
9
10
AVERAGE
BINOMIAL
DIFFERS
AVERAGE%
NORMAL %

Comments:

From wHolt - 11/13/08 7:26 AM

TOSS	MEAN	±1 STD	±2 STD	±3 STD	±4 STD
1
2
3
4
5
6
7
8
9
10
AVERAGE
BINOMIAL
DIFFERS
AVERAGE%
NORMAL %

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Last Modified 11/13/08 4:10 PM