P3.2. Normal Distribution

Question 1

is a distribution that is symmetric about the mean.

Answer 1

Normal Distribution

Question 2

Characteristics of a Normal Distribution:

Answer 2

1. Bell shaped and symmetric about the mean
2. Mean = median = mode
3. Total area under the curve is 1 or 100%

Question 3

Two parameters of Normal Distribution:

Answer 3

Mean
Standard Deviation

Question 4

determines the distribution location

Answer 4

Mean

Question 5

determines the spread of the distribution

Answer 5

Standard Deviation

Question 6

1. ơ increases, the distribution becomes ____?
2. ơ decreases, the distribution becomes ____?

Answer 6

1. wider
2. thinner

Question 7

1 SD covers

Answer 7

68.25% of the distribution

Question 8

2 SD covers

Answer 8

95.50% of the distribution

Question 9

3 SD covers

Answer 9

99.75% of the distribution

Question 10

the STANDARD NORMAL DISTRIBUTION has a:
1. mean = ?
2. SD = ?

Answer 10

1. 0
2. 1

Question 11

represent the standard normal random variable

Answer 11

capital Z

Question 12

used to represent a particular value of Z

Answer 12

small letter z

Question 13

areas under the standard normal are?

Answer 13

tabulated

Question 14

added info:

1. mean < median < mode

Answer 14

categories and frequencies of an NEGATIVELY SKEWED distribution

Question 15

What are the categories and frequencies of a POSITIVELY SKEWED DISTRIBUTION?

Answer 15

1. Categories: mode < median < mean
2. Frequencies: mode > median > mean