Finding Areas within a Normal Distribution Answers

The z-score for the 60th percentile is about .

The z-score of about tells us that 88% of the observations in the distribution are at or below standard deviations above the mean.

The z-score of about tells us that 12% of the observations in the distribution are at or below standard deviations below the mean.

The z-score of about tells us that 12% of the observations in the distribution are at or below standard deviations below the mean.

The z-score of about tells us that 88% of the observations in the distribution are at or below standard deviations above the mean.

The camera price that represents the 75th percentile is about $.

The z-score that represents a value at the 5th percentile is about .

This means that of the cameras are less expensive than or equal to this price, and of the cameras are more expensive than this price.

The ACT score that separates the lowest 5% of test scores from the rest is about .

This means that of the cameras are less expensive than or equal to this price, and of the cameras are more expensive than this price.

The z-score that represents a probability of 95% of the scores is about .

The ACT score that separates the highest 5% of test scores from the rest is about .