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Normal Curves
finding probabilities in a normal distribution
11
Mathematics
10th Grade
09/03/2012

Additional Mathematics Flashcards

 


 

Cards

Term

given: mean = 40; standard deviation=2

 

1) What percentage of data lies between 38 and 42?

2) 95% of the data lies between what 2 numbers? 

 

 

 

 

 

 

 

 

Definition

1. a) 34%

b) 68%

c) 95%

d) 99.7%

 

2. a) 40 and 44

b) 38 and 44

c) 38 and 46

d) 36 and 44

Term

given: mean=8.7 standard deviation=1.2

 

Find the probability of choosing a value

1) between 8.7 and 11.1

2) a most 7.5

 

 

 

 

 

 

 

 

 

 

 

 

 

Definition

1. a) 34%

b)47.5%

c) 49.85%

d) 68%

 

2) a) 2.5%

b) 16%

c) 34%

d) 47.5%

Term

Given mean = 120; standard deviation = 10

 

1. Find P(90< x <140)

2. Find P(x > 150) 

 

 

 

 

 

 

 

 

 

Definition

1. a) 68%

b) 99.7%

c) 95%

d) 97.35%

 

2. a) .15%

b) 1.5%

c) 2.5%

d) 99.85%

 

Term

given mean = 88; standard deviation = 3

 

1. Between what two numbers does 68% of the data lie?

2. 95%?

3. 99.7%?

 

 

 

 

 

 

 

 

 

Definition

For questions 1-3 use the following answer choices:

 

a) between 88 and 91

b) between 85 and 91

c) between 85 and 94

d) between 88 and 94

e) between 79 and 94

f) between 82 and 94

g) between 79 and 97

Term

given mean = 15 and standard deviation = 1.5

 

Find the probability of getting a value

1) at least 10.5

2) at most 10.5

 

 

 

 

 

 

 

 

 

Definition

Use the following answer choices for 1 and 2:

 

a. 0.15%

b. 16%

c. 34%

d. 84%

Term

given: mean = 800 and standard deviation = 120

1. 50% of the data is above what number?

2. Find the probability of getting a value between 560 and 920?

 

 

 

 

 

 

 

 

 

Definition

1. a) 560

b) 680

c) 720

d) 800

 

2. a) 81.5%

b) 68%

c) 95%

d) 47.5%

Term

given mean = 75; standard deviation = 5

1. What percent of the data is between 60 and 75?

2. find P(70 < x < 80)

3. find P(65 < x < 85)

 

 

 

 

 

 

 

 

 

Definition

1. a. 49.85% b. 50% c. 68% d. 95%

 

2. a. 47.5% b. 68% c. 95% d. 99.7%

 

3. a. 68%  b. 84%  c. 95%  d. 99.7%

Term

Given mean = 12; standard deviation = 3

1. There is a 99.7% chance of choosing a value between what two numbers?

2. Find P(x > 18)

 

 

 

 

 

 

 

 

 

Definition

1. a) between 12 and 15

b) between 3 and 21

c) between 6 and 18

d) between 9 and 15

 

2. a) 0.15%

b) 2.5%

c) 16%

d) 97.5%

Term

given: mean = 400; standard deviation = 25

find the probability of getting a value

1. between 325 and 425

2. at most 450

 

 

 

 

 

 

 

 

 

Definition

1. a) 34%

b) 68%

c) 95%

d) 83.85%

 

2. a) 2.5%

b) 16%

c) 84%

d) 97.5%

Term

Which statements are true about a random sample of a population?

 

1. A random sample will have exactly the same mean as the population mean.

 

2. The means of random samples will vary.

 

3. A large sample will likely be closer to the population mean than a small sample.

 

4. The means of random samples will have a larger standard deviation than the population itself.

Definition

a) 1 & 2

b) 3 and 4

c) 2 and 4

d) 3 only

e) 2 and 3

f) all of the statements are true

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