Normal Distribution

Question 1

What is the characteristic shape of a normal distribution?

Answer 1

Symmetrical and bell-shaped

Question 2

The normal distribution is an appropriate model for what?

Answer 2

Many common continuous distributions

Question 3

Give 4 examples of continuous distributions

Answer 3

-masses of new born babies
-IQ’s of human beings
-Blood pressure of adults
-Heights of daisies growing in a field

Question 4

What is discrete data/variables?

Answer 4

Whole numbers

Question 5

What are continuous data/variables?

Answer 5

Fractions/decimals

Question 6

Is Normal distribution continuous or discrete?

Answer 6

continuous data (Bi Dis is discrete)

Question 7

what are the parameters for normal distribution?

Answer 7

x ~ N [u,Q^2] u has line and Q has hat

Question 8

what does the u with the line symbol mean?

Answer 8

Mean

Question 9

What does the Q with the hat mean?

Answer 9

Variance

Question 10

Where is the mean located on a normal dis?

Answer 10

At line of symmetry

Question 11

What points r always located one standard deviation away from the mean?

Answer 11

The points of inflection

Question 12

What does the area under the curve represent?

Answer 12

Probability

Question 13

What percentage lies within 1 standard deviation of the mean?

Answer 13

68%

Question 14

What percentage lies within 2 standard deviations of the mean?

Answer 14

95%

Question 15

What percentage lies within 3 standard deviations of the mean?

Answer 15

99.7%