You have conducted a research project and while you investigated the distribution of a continuous variable that you collected, you saw that it had a normal distribution with a PERFECT bell shape. (This is hypothetical because perfect bell-shaped distributions are very rare or even impossible to obtain in real world data).

1) Under the hypothetical perfect bell shaped variable, discuss which measures of central tendency and variability would best describe this continuous variable.

2) In 4 to five sentences, explain the differences between the standard normal distribution and the normal distribution

3) Explain the differences between a standard deviation and a standard error. Which of the two is usually larger?