Normal and Skewed Distribution

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

• 68%

• 95%

• 99.7%

• 50%

If this is the graph of data normally distributed with a mean of 30 and a standard deviation of 5, what label (number) is written at the blue circle?

• 20

• 15

• 40

• 30

​ 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 amount of workers who earn more than $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?

• 5%

• 95%

• 2.5%

• 50%

The center of the curve represents what value of a data set?

• μ

• δ

• Σ

• Ζ

What is the area under the curve to the left of z = 0.55 ?

• .2912

• .5500

• .9394

• .7088

What is the area under the curve between z = 0 and z = 1.45?

• .9265

• .4265

• .4500

• .5000

What is the total area under the curve?

• 1
• .9998
• .997
• -3 < z < 3

How is the graph distributed?

• Normally

• Skewed to the Left

• Skewed to the Right

• Uniform

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

• 68%

• 32%

• 16%

• 50%