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Normal Distribution

The document contains a multiple choice quiz about normal distributions. It asks questions about key characteristics of the normal distribution curve including its symmetry around the mean, the total area under the curve being 1, and the percentages of the distribution that fall within 1, 2, and 3 standard deviations of the mean. It also contains questions about parameters like the mean and standard deviation, as well as related concepts like z-scores.

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0% found this document useful (0 votes)
31 views4 pages

Normal Distribution

The document contains a multiple choice quiz about normal distributions. It asks questions about key characteristics of the normal distribution curve including its symmetry around the mean, the total area under the curve being 1, and the percentages of the distribution that fall within 1, 2, and 3 standard deviations of the mean. It also contains questions about parameters like the mean and standard deviation, as well as related concepts like z-scores.

Uploaded by

mykajovero
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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What I Know

Directions: Choose the best answer. Write the chosen letter on a separate sheet of paper

1. Which of the following illustrations represents normal distribution? A. C. B.

D.

2. What is another name for normal distribution?

A. Gaussian distribution

B. Poisson distribution

C. Bernoulli’s distribution

D. Probability distribution

3. What is the total area in the distribution under the normal curve?

A. 0

B. 1

C. 2

D. 3

4. Which of the following is a parameter of normal distribution?

A. mean B. standard deviation C. mean and standard deviation D. none of the above

5. The graph of a normal distribution is symmetrical about the ________.

A. mean B. standard deviation C. mean and standard deviation D. none of the above

6. What percent of the area under a normal curve is within 2 standard deviations?

A. 68.3% B. 95.4% C. 99.7% D. 100%

7. How many standard deviations are there in each inflection point?

A. 0 B. 1 C. 2 D. 3

8. Which of the following denotes the standard normal distribution?

A.A

B. X

C. Y

D. Z

9. A random variable X has a mean of 12 and a standard deviation of 3.2. What is the corresponding z-
score for x = 8?
A. -1.25 B. -1.50 C. -1.75 D. -2.25

10. What is the area under the normal curve if the z-score given is 2.14?

A. 0.9830

B. 0.9834

C. 0.9838

D. 0.9842

11. What is the z-score if the area under the normal curve is 0.0475?

A. -1.66

B. -1.67

C. 1.66

D. 1.67

12. What is the area under the normal curve between the z-scores -1.99 and 1.56?

A. 0.9173

B. 0.9317

C. 0.9369

D. 0.9639

13. What is the area of the P(Z > 2.58) using the standard normal curve?

A. 0.0049

B. 0.0051

C. 0.9949

D. 0.9951

14. In an achievement test, the mean score of normally distributed values is 70 and the standard
deviation is 12. What is the percentage of students who got a score of 85 and above?

A. 0.1056

B. 0.1075

C. 0.8925

D. 0.8944

15. What is the value of 70th percentile in a standard normal distribution?

A. 0.51 B. 0.52 C. 0.61 D. 0.6


Multiple Choice. Choose the letter of the best answer.

1. What is another name for normal distribution?

A. Gaussian distribution

B. Poisson distribution

C. Bernoulli’s distribution

D. Probability distribution

2. What is the total area in the distribution under the curve?

A. 0 B. 1 C. 2 D. 3

3. What marks the change in the curve’s concavity ?

A. curve

B. inflection points

C. mean

D. standard deviation

4. Which value is found at the center of the normal curve?

A. mean B. median C. mode D. all of the above

5. Which of the following is a parameter of normal distribution?

A. mean

B. standard deviation

C. mean and standard deviation

D. none of the above

6. Which of the following symbols is used to denote the mean?

A. B. µ C.α D.∞

7. Which of the following does not describe a normal curve?

A. asymptotic

B. bell-shaped

C. discrete

D. symmetrical about the mean

8.What percent of the area under a normal curve is within 2 standard deviations?

A. 68.3% B. 95.4% C.99.7% D. 100%


9. What percent of the area under a normal curve is within 1 standard deviation?

A. 68.3% B. 95.4% C. 99.7% D. 100%

10. What percent of the area under a normal curve is within 3 standard deviations?

A. 68.3% B. 95.4% C. 99.7% D. 100%

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