# Are You "Normal"?

### SAT Overall Scores

## Population

Mean- 1565.33

Standard Deviation- 187.38

## Z-Scores & Probability

Probability of less than 1600- z = .1850, probability = .5734

Probability between 1320 and 2000- z = -1.3093 & 2.3197, probability = .8946Probability of greater than 1440- z = -.6689, probability = .7482

## Population Mean vs Mean of the Sample Means

The data supports that the mean of the sample means equals the population mean.

## Standard Deviation of the Sample Means vs Standard Error

Without using the formula the standard deviation is higher, because the one sample mean is around 200 greater than the rest.