Continuous Normal Distribution

Estimate where the mean and the line of symmetry would be on the number line.

• 3.1

• 3.25

• 3.5

• 3.75

Check all that apply. If this a normal distribution, check only "Yes." If it is not, check all reasons why it is not.

• Yes

• No, the mean, median, and mode are not equal

• No, it is not symmetric about the mean.

• No, the curve is touching the x-axis

Which curve has the highest mean?

• Curve A

• Curve B

• Curve C

Which curve has the largest standard deviation?

• Curve A

• Curve B

• Curve C

The monthly income of 5000 workers at the Microsoft plant are distributed normally. Suppose the mean monthly income is $1250 and the standard deviation is $250.

Creating a normal distribution curve shows that the percentage of workers who earn between $750 and $1500 per month is ​ (a)  

• 800 workers

• 125 workers

• 81.5% of workers

• 97.5% of workers

​ The monthly income of 5000 workers at the Microsoft plant are distributed normally. Suppose the mean monthly income is $1250 and the standard deviation is $250.

Creating a normal distribution curve shows that the percentage of workers who earn between $750 and $1500 per month is ​ (a)  

• 800 workers

• 125 workers

• 81.5% of workers

• 97.5% of workers

This data is normally distributed.  What percent of the data is in the shaded region?

• 68%

• 95%

• 99.7%

• 50%

A grading scale is set up for 1000 students' test scores. It is assumed the scores are normally distributed with a mean score of 75 and a standard deviation of 15. If a grade of a 60 is the lowest passing score, how many students are expected to pass the test? ​ (a)   How many students are expected to fail the test? ​ (b)  

• 840 students

• 160 students

• 84 students

• 16 students

• 877 students

• 123 students

This data is normally distributed.  What percentage of the data is in the shaded region?

• 68%

• 34%

• 17%

• 50%

The monthly income of 5000 workers at the Microsoft plant are distributed normally. Suppose the mean monthly income is $1250 and the standard deviation is $250.
Creating a normal distribution curve shows that the percentage of workers who earn less than $1750 per month is ​ (a)  

• 800 workers

• 125 workers

• 81.5% of workers

• 97.5% of workers