Worksheet: The Normal Distribution

Cement your understanding of what it means for a data set to be normally distributed in this worksheet. Perform calculations on the data given that it is normally distributed and use this to make predictions and analyze the data.

Q1:

James’s class took a quiz. The class’s average score was 51, and James’s score was 56. If the scores are normally distributed with a standard deviation of 5, determine where James’s score is in the distribution.

Q2:

For the normal distribution shown, approximately what percentage of data points lie in the shaded region?