Normal Distribution

The ages of the population of people living in the Atlanta area are normally distributed with a mean of 43 and a standard deviation of 14.

The town has a population of 5,000. How many would you expect to be aged between 29 and 57?

This Standard Normal Distribution curve may help you solve this problem.

• 1750

• 3860

• 3400

• 4330

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CCSS.HSS.ID.A.4

68% of the marks in a test are between 51 and 64. Assuming this data is normally distributed, what is the mean and standard deviation?

• Mean: 57

  Standard Deviation: 6.5

• Mean: 57

  Standard Deviation: 7

• Mean: 57.5

  Standard Deviation: 6.5

• Mean: 57.5

  Standard Deviation: 13

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CCSS.HSS.ID.A.4

The heights of male students are Normally distributed with mean 1.7 m and standard deviation 0.2 m

In a population of 400 male students, how many would you expect to have a height between 1.4 m and 1.6 m?

• 24

• 54

• 97

• 100

Tags

CCSS.HSS.ID.A.4

What shape is a normal distribution curve?

• Half curve
• Round curve
• Bell curve
• Square curve

Between what two standard deviations of a normal distribution contain 95% of the data?

• one below and one above

• two below and two above

• two below and zero

• zero and two above

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CCSS.HSS.ID.A.4

Use the following information and the Empirical Rule to estimate the answer.

The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.

There are 500 golf members at the Mathy Country Club. How many are younger than 34?

• 16

• 80

• 100

• 150

Tags

CCSS.HSS.ID.A.4

Tags

CCSS.HSS.IC.B.4

Tags

CCSS.HSS.ID.A.4

What is the mean on the graph given?

Tags

CCSS.6.SP.A.3

What is the standard deviation on the graph given?