Scribd
Upload
26 views2 pages

Josh Quiz

The document consists of a series of multiple-choice questions related to the normal distribution in statistics and probability. Key topics include the properties of the normal curve, z-scores, and the interpretation of areas under the curve. It tests knowledge on concepts such as symmetry, percentiles, and the significance of the total area under the curve.

Uploaded by

bosscoffeetea
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
26 views2 pages

Josh Quiz

The document consists of a series of multiple-choice questions related to the normal distribution in statistics and probability. Key topics include the properties of the normal curve, z-scores, and the interpretation of areas under the curve. It tests knowledge on concepts such as symmetry, percentiles, and the significance of the total area under the curve.

Uploaded by

bosscoffeetea
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
You are on page 1/ 2

Statistics and Probability - Normal Distribution

1. What is the total area under a normal distribution curve?

A. 0 B. 0.5 C. 1 D. 2

2. Which measure is at the center of a normal distribution?

A. Mode B. Mean C. Median D. All of the above

3. What shape best describes the normal curve?

A. S-shaped B. Zigzag C. Bell-shaped D. Line

4. What does it mean when a curve is asymptotic?

A. It touches the x-axis B. It intersects the y-axis C. It approaches the x-axis but never touches it D. It forms

a square

5. Which value indicates a perfectly symmetrical distribution?

A. Mean = 0 B. Mode = 0 C. Skewness = 0 D. Median = 0

6. What is the z-score formula for population data?

A. z = (X - x)/s B. z = (X - )/ C. z = ( - X)/ D. z = (X + )/

7. If the mean is 100 and the standard deviation is 10, what is the z-score of 120?

A. 1 B. 2 C. 0.2 D. -2

8. What is the z-score for X = 85, = 100, = 5?

A. 3 B. -3 C. 2 D. -2

9. If z = 0, where is the corresponding value located?

A. Far left of the curve B. Center of the curve C. Far right of the curve D. Undefined

10. What area corresponds to z = 1.00 from the z-table?

A. 0.3413 B. 0.4772 C. 0.5000 D. 0.8413

11. What is the probability notation for finding area to the right of z = 1.5?

A. P(z < 1.5) B. P(z = 1.5) C. P(z > 1.5) D. P(1 < z < 5)

12. Which of the following areas is equivalent to the 95th percentile?

Page 1
Statistics and Probability - Normal Distribution

A. 0.5000 B. 0.6450 C. 0.9500 D. 1.0000

13. What is the approximate z-value for the 70th percentile?

A. 0.13 B. 0.52 C. 0.67 D. 0.87

14. What is the area between z = -1 and z = 1?

A. 0.3413 B. 0.6826 C. 0.5000 D. 0.9544

15. Which of the following statements is TRUE?

A. P(z = 1.0) > 0 B. P(z > 0) = 1 C. P(z = 1.0) = 0 D. P(z < 0) = 0

16. A student scored 112 on a test with = 100 and = 4. What is the z-score?

A. 3 B. 4 C. 2 D. 1.5

17. What percentile corresponds to a z-score of 1.28?

A. 79th B. 80th C. 90th D. 99th

18. What is the probability that z is between -2 and 2?

A. 0.4772 B. 0.6826 C. 0.9544 D. 0.9986

19. Which property is NOT true of a normal distribution?

A. It is bell-shaped B. It is skewed left C. Mean = Median = Mode D. Total area under the curve is 1

20. The width of the normal curve is determined by:

A. The number of data points B. The sample size C. The mean D. The standard deviation

Page 2

You might also like