Understanding Normal Distribution

The video tutorial explains the characteristics of a normal distribution, emphasizing its symmetry, unimodal nature, and the fact that the total area under the curve is one. It demonstrates how to calculate the area to the right of a data value when the area to the left is known, and vice versa, using simple subtraction from one. The tutorial provides visual modeling on a normal distribution graph to aid understanding.

What is a key characteristic of a normal distribution?

• The area under the curve is less than one.

• The mean, median, and mode are equal.

• It has multiple peaks.

• It is asymmetrical.

Which of the following is true about the graph of a normal distribution?

• It is asymptotic to the vertical axis.

• The area under the curve is zero.

• It is asymptotic to the horizontal axis.

• It has two peaks.

What does it mean for a normal distribution to be unimodal?

• It is skewed.

• It is asymmetrical.

• It has one peak.

• It has multiple peaks.

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CCSS.HSS.ID.A.4

If the area to the left of a point in a normal distribution is 0.19, what is the area to the right?

• 0.64

• 0.36

• 0.81

• 0.19

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CCSS.7.SP.C.7B

If the area to the left of a point is 0.19, what is the total area under the curve?

• 0.36

• 1.00

• 0.81

• 0.19

Tags

CCSS.HSS.ID.A.4

In a normal distribution, if the area to the right of a point is 0.36, what is the area to the left?

• 0.36

• 0.64

• 0.19

• 0.81

Tags

CCSS.HSS.ID.A.4

How do you find the area to the left if the area to the right is known?

• Add the area to the right to 1.

• Divide the area to the right by 2.

• Subtract the area to the right from 1.

• Multiply the area to the right by 2.

Tags

CCSS.HSS.ID.A.4

What is the area to the right if the area to the left is 0.64?

• 0.36

• 0.64

• 0.19

• 0.81

Tags

CCSS.HSS.ID.A.4