Normal Distribution and Z-scores

Last updated about 5 hours ago

8 questions

Normal Distribution and Z-scores

Last updated about 5 hours ago

8 questions

The scores from a statistics test were {99, 60, 82, 78, 93, 71, 68, 86, 80, 95, 72, 64}

Calculate. Round to the nearest whole number, if necessary. 

mean: _______ 
standard deviation: _______ 

Draw and label the normal distribution curve with the empirical rule.

Mr. Statson gave a quiz and found it was normally distributed with a mean of 25 and a standard deviation of 10. 
Find the z-scores fore each of the following values. 

a) 40   _______ 

b) 27   _______ 

c) 6   _______ 

Show work for your answers for full credit. 
Round to one decimal place.

Ms. Algebrian's test was normally distributed with a mean of 6 and a standard deviation of 1.5. 
Find the z-scores for each of the following data values. 

a) 4   _______ 

b) 10   _______ 

c) 7   _______ 

Show all work for credit. 
Round your answers to one decimal place.

The table shows test data for four different classes and for one student in each class. 
Find each student's grade. Round your answer to the nearest tenth. 



Jacob: _______ 
Sophie: _______ 
Avery: _______ 
Garrett: _______ 

Show all work for full credit. 