Introduction to Normal Distribution

Which distribution has the smallest standard deviation?

• red

• yellow

• green

• blue

• they are all the same

Which distributions have the same mean? Check all that apply.

• red

• yellow

• green

• blue

• none of them have the same mean

Find the area under the standard normal curve that is to the left of z=0.88.

• 0.1894

• 0.8106

• 1.1750

• -1.1750

Find the area under the standard normal curve that is to the right of 0.46

• 0.1004

• .3111

• 0.6772

• 0.3228

​ 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

​ 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

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?

• 40

• 35

• 45

• 50

What type of distribution is pictured?

• Right skewed

• Left skewed

• Random

• Normal

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

• 68%

• 95%

• 99.7%

• 50%

Question 28

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• 3

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