Sample Problems for Normal Curves


Problem #1:

Your math teacher asks you to keep track of how many cans of pop are bought each day at your school. The teacher ask you to calculate the mean and standard deviation of this data. Then he wants to know what percent of the time your school sells at least 864 cans of pop per day.

Your data is: { 584, 958, 857, 953, 1009, 984, 678, 895, 917, 784, 814, 692, 968, 576, 673 }

Mean and standard deviation solution to this problem

Z-score and percentage score solution.

Problem #2:

Your teacher tells you on the last test the mean of the class was 78.83 with a standard deviation 12.342.
The following questions come to mind:

1) You want to know what percent of your class you beat with your score of 92 points on this test

Solution for part I.

2) What percent of the class scored between 70 and 85 points on this test.

Solution for part II.

3) What percent of the class scored more than 90 points on this test.

Solution for part III