Normal Distribution

If the value we are looking for is smaller than the mean, the value of z is:

• Not enough information

• Negative

• Positive

• 0

Tags

CCSS.HSS.ID.A.4

Which is NOT a characteristic of normal distribution?

• Symmetrical
• Bell-shaped
• Random
• Continuous

Tags

CCSS.HSS.ID.A.3

What is the the total area under the standard normal distribution curve?

• 100

• 25

• .5

• 1

Tags

CCSS.HSS.ID.A.4

Between what two standard deviations of a normal distribution contain 68% of the data?

• one below and one above

• two below and two above

• two below and zero

• zero and two above

Tags

CCSS.HSS.ID.A.4

The z-score represents.....

• the amount of standard deviations a data value is above or below the mean.
• the percentile the data value is above or below the mean.
• the amount of standard deviations a data value is above or below the median.
• the percent the data value is above or below the mean.

Tags

CCSS.HSS.ID.A.4

Find the area of the shaded region.

• 16%

• 84%

• 68%

• 34%

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.MD.A.3

Find the z-score for 48 given a mean of 50 and a standard deviation of 5.

• 2.5

• -2.5

• -0.4

• 0.4

What's the probability x > 17?

(Mean = 15, Standard dev = 3)

• 0.7486

• 0.7454

• 0.2514

• 0.2546

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.MD.A.3

What's the probability of the gray area?

(Mean = 55, Standard dev = 2.5)

• 0.8185

• 0.8413

• 0.8641

• 0.8389

What's the probability of 49 < x < 51 ?

(Mean = 50, Standard dev = 6.5)

• 0.1192

• 0.1251

• 0.1587

• 0.0875