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Normal Distribution Test

This document outlines a statistics test focused on normal distribution, consisting of three sections: multiple-choice questions, definitions, and long questions. The test is worth a total of fifty marks and covers key concepts such as properties of normal distribution, empirical rules, and calculations related to IQ scores and heights. Students are required to complete the test within one and a half hours.

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hammad asghar
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71 views3 pages

Normal Distribution Test

This document outlines a statistics test focused on normal distribution, consisting of three sections: multiple-choice questions, definitions, and long questions. The test is worth a total of fifty marks and covers key concepts such as properties of normal distribution, empirical rules, and calculations related to IQ scores and heights. Students are required to complete the test within one and a half hours.

Uploaded by

hammad asghar
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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STATISTICS TEST

Chapter: Normal Distribution

Total Marks: Fifty (50)

Time Allowed: One and a Half Hours (1.5 Hours)

Section A: Multiple-Choice Questions (10 Marks)


(Each question carries one (1) mark.)

1. 1. The normal distribution is also known as:

- Gaussian distribution

- Binomial distribution

- Poisson distribution

- Exponential distribution

2. 2. Which of the following is a property of a normal distribution?

- Symmetric about the mean

- Skewed to the right

- Skewed to the left

- Has two modes

3. 3. In a normal distribution, the mean, median, and mode are:

- Equal

- Different

- Unrelated

- Always zero

4. 4. The total area under the normal distribution curve is:

-1

- 0.5

-2

- Depends on the mean


5. 5. What is the shape of a normal distribution curve?

- Bell-shaped

- U-shaped

- Rectangular

- Triangular

6. 6. The standard normal distribution has a mean of:

-0

-1

- Any positive number

- Any negative number

7. 7. What is the empirical rule for a normal distribution?

- 68-95-99.7 rule

- 50-60-70 rule

- 30-60-90 rule

- None of these

8. 8. A normal distribution is completely defined by:

- Mean and standard deviation

- Median and mode

- Mean and variance

- Range and variance

9. 9. Which function describes the normal distribution?

- Probability Density Function

- Cumulative Distribution Function

- Logarithmic Function

- Linear Function

10. 10. If a dataset follows a normal distribution, its skewness is:


- Zero

- Positive

- Negative

- Undefined

Section B: Definitions (12 Marks)


(Each definition carries two (2) marks.)

1. Define Normal Distribution.

2. Define Standard Normal Distribution.

3. Define Probability Density Function.

4. Define Empirical Rule.

5. Define Z-Score.

6. Define Cumulative Distribution Function.

Section C: Long Questions (28 Marks)


(Each question carries fourteen (14) marks. Attempt any TWO out of three.)

1. Explain the properties of a normal distribution and derive its probability density function.

2. The IQ scores of a population follow a normal distribution with a mean of 100 and a
standard deviation of 15. Find the probability that a randomly selected person has an IQ
between 85 and 115.

3. If the heights of adult males follow a normal distribution with a mean of 175 cm and a
standard deviation of 10 cm, determine the percentage of males taller than 185 cm.

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