Question

Explain how the following scenario is possible, using a coin toss and fictitious data: As the number of trials increases, the differences between the number of actual and expected successes tends to grow, but the difference between the percentage of actual and expected successes tends to decrease.

Trials
Tosses
Number of Heads (Actual)
Number of Heads (Expected)
Difference between Numerical Totals
Percentage of Heads (Actual)
Percentage of Heads

(Expected)
Difference between Percentages

1
100
52
50
2
.52
.50
0.02

2
100
54
52
2
.54
.52
0.02

3
100
48
54
6
.48
.54
0.06

4
100
51
48
3
.51
.48
0.03

       



Please review the Task Directions and provide this explanation and fictitious data. Good work using the recommended table but the scenario is not demonstrated correctly. The number of trials needs to increase while the numerical difference increases and the percentage difference decreases. Perhaps using trial #1 as 100 tosses and trial #2 as 1000 trials would be simplest. Then choose the numbers to illustrate the given scenario. The expected percentage of heads should always be 50%