Statistics Review Normal Distribution

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ASSUME THE GIVEN DISTRIBUTION IS NORMAL.

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

• 68%

• 95%

• 99.7%

• 50%

What type of distribution is pictured?

• Right skewed

• Left skewed

• Random

• Normal

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

Question 28

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​ 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

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 ​

• 800 workers

• 125 workers

• 81.5% of workers

• 97.5% of workers