6.3 Normal Distribution

On a normal distribution curve, 68% of data falls within how many standard deviations?

• 0

• 1

• 2

• 3

On a normal distribution curve, 95% of data falls within how many standard deviations?

• 0

• 1

• 2

• 3

On a normal distribution curve, 99% of data falls within how many standard deviations?

• 0

• 1

• 2

• 3

The mean life of a tire is 30,000 km. The standard deviation is 2000 km.

Then, 68% of all tires will have a life between ___________ km and __________ km.

•  28,000 km and 32,000 km.
• 24,000 km and 34,000 km.
• 26,000 km and 34,000 km.
• 27,000 km and 31,000 km.

Tags

CCSS.HSS.ID.A.4

What shape is a normal distribution curve?

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

Tags

CCSS.HSS.ID.A.3

The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.

About what percent of the products last between 12 and 15 days?

• 68%
• 34%
• 16%
• 2.5%

Tags

CCSS.HSF-LE.A.1B

The mean life of a tire is 30,000 km. The standard deviation is 2000 km.

Then, 95% of all tires will have a life between ___________ km and __________ km.

• 28,000 km and 32,000 km.

• 24,000 km and 34,000 km.

• 26,000 km and 34,000 km.

• 27,000 km and 31,000 km.

To find a z-score, use which equation....

• $\frac{x-\mu}{\sigma}$

• $\frac{\mu-x}{\sigma}$

• $\frac{x-\sigma}{\mu}$

• $\frac{\mu-\sigma}{x}$

Find the Z-score.

Mean = 22

Standard Deviation: 3.1

x = 29

• 2.26

• 16.45

• -2.26

• 1.26

Tags

CCSS.HSS.ID.A.4

Find the Z-score.

Mean = 21

Standard Deviation: 1.3

x = 22

• 0.77

• 5.33

• 1.07

• 1.26

Tags

CCSS.HSS.ID.A.4