Normal Distribution Review

Which of the following is NOT a characteristic of a Normal Distribution Curve?

• It is a continuous bell-shaped curve.

• The curve is symmetric about the mean.

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CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

• True

• False

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CCSS.HSS.ID.A.4

What can be said about the means and standard deviations of the curves shown in the figure?

• The curves have the same means and standard deviations.

• The curves have the same means but different standard deviations.

• The curves have different means but the same standard deviations.

• The curves have different means and standard deviations.

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CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

What does σ represent?

• sample standard deviation
• population/distribution standard deviation
• sample mean
• population/distribution mean

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CCSS.HSS.ID.A.3

CCSS.HSS.ID.A.4

What does μ represent?

• sample standard deviation
• population/distribution standard deviation
• sample mean
• population/distribution mean

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CCSS.HSS.IC.B.4

What value(s) must you include when defining a normal distribution?

• μ
• σ
• both μ and σ
• 68, 95 and 99.7

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CCSS.HSS.ID.A.4

Tests in Mr. Jones class have a mean score of 73 and standard deviation of 6 points. Mark scored a 68 on the test. What is his z-score?

• 0.83
• 5
• -0.83
• -5

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CCSS.HSS.ID.A.4

What is the total area under the standard normal curve?

• 0

• 1/2

• 1

• 2

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CCSS.HSS.ID.A.4

Set up the z score formula for the following information:

A report stated that the average number of times a cat returns to its food bowl during the day is 36. Assume the variable is normally distributed with a standard deviation of 5, and that we wish to find the percentage of cats that return to their dish less than 32 times a day.

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CCSS.HSS.ID.A.4

What was the median score?

• 39

• 50

• 55

• 16

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CCSS.HSS.ID.A.2