__Phy 120 PreLab 1__

__Exercise A__

The simulation above represents 20 marbles dropped 5 at a time onto a board with pegs, a** Galton** board. You are attempting to find the
position at which the balls are released but you can only measure the average distance of the balls after they have made it though the pegs. Each time the marble
hits a peg, it has an equal chance of bouncing to the left or to the right. At any time you can measure the mean, i.e. average, value of the position of the marbles
that have made it through the pegs. The simulation will stop after all 20 marbles have landed but you may repeat the experiment as many times as you wish.
Then answer these questions in the response form below:

**How is this simulation related to the experiment you are about to perform?**
**Do you always obtain the same value for the mean after all 20 marbles have landed?**
**What do you think is the true mean value of the position of the marbles that have made it though all the pegs?**

Want to read more about the Normal Distribution?

__Exercise B__

Before coming to the laboratory, satisfy yourself that you can perform the kinds of calculations illustrated in Statistics:
Theory by finding the **mean, standard deviation and standard error **in the following set of measurements of the width of a table top:

x_{1}=1.63 m |
x_{2}=1.65 m |
x_{3}=1.61 m |
x_{4}=1.59 m |

If you own a pocket calculator which will automatically compute the mean and standard deviation of a set of numbers, you may want to check the results of your
detailed calculations with those yielded by the calculator's internal program.

Answer in the form below: