Percentiles and Normal Distribution Review

Presentation

•

Mathematics

•

10th - 12th Grade

•

Hard

Joseph Anderson

FREE Resource

6 Slides • 6 Questions

6.1-6.3 Normal Distribution review

What have we been doing?

Properties of a Normal Distribution

Bell-shaped
Symmetric about the mean
Area under the curve equals 1
Group of curves defined by mean and standard deviation
68-95-99.7

The STANDARD Normal Distribution

Special property: mean = 0, standard deviation = 1

Find the area/probability

given a z-score
normalcdf calculator command

Multiple Choice

Find the area under the standard normal curve that lies between z=-1.23 and z=1.74.

-0.8497

0.7247

0.0684

0.8497

Multiple Choice

Find the P(z < 2.10).

0.0179

-0.0179

0.9821

0.98%

Find a z-score

given an area
invnorm calculator command

Multiple Choice

Find the z-score such that the area to the left of the z is 0.3000.

-1.88

0.52

-0.52

1.88

Multiple Choice

Find the z-score such that the area to the right of z is 0.4400.

-0.15

-1.71

1.71

0.15

Multiple Choice

Find the z-score such that the proportion of observations between the mean and the z-score is 0.4898 and z is negative

z = - 2.32

z = -0.03

z = -0.67

z = -4.99

Multiple Choice

Find the z-score that represents the 80th percentile.

z=-0.84

z=1.84

z=-1.84

z=0.84

Next Topic . . .

Applications with the Normal Distribution

6.1-6.3 Normal Distribution review

What have we been doing?

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