In a normal distribution, the mean, mode and median are all equal.

Depends on the type of normal distribution

The Normal Distributions Test

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1/10 Questions

Another name for normal distribution is...
- Lagrangian distribution
- Gaussian distribution
- Laplacian distribution
- Cauchy's distribution

About This Quiz

A normal distribution is a term in probability theory, which is a very common continuous probability distribution. Take this test to assess your knowledge of normal distribution.

2.

In a normal distribution, the mean, mode and median are all equal.
- True
- False
- Depends on the type of normal distribution
- Depends on some other factors
Correct Answer

A. True

Explanation

In a normal distribution, the mean, mode, and median are all equal because the normal distribution is symmetric. The mean represents the average value, the mode represents the most frequent value, and the median represents the middle value. In a symmetric distribution like the normal distribution, these three measures of central tendency coincide and have the same value. Therefore, the statement is true.

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1
3.

The standard normal curve is symmetrical about the value of...
- 1
- 0
- 2
- 4
Correct Answer

A. 0

Explanation

The standard normal curve is symmetrical about the value of 0 because the mean of a standard normal distribution is 0. This means that the curve is equally likely to be above or below 0, resulting in a symmetrical shape.

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4.

What is the area under a standard normal curve?
- 1
- 0
- Not defined
- Infinity
Correct Answer

A. 1

Explanation

The area under a standard normal curve is 1. This is because a standard normal curve represents a normal distribution with a mean of 0 and a standard deviation of 1. The total area under the curve represents the probability of all possible outcomes, and since the total probability of all outcomes is 1, the area under the curve must also be 1.

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5.

What is the value of median in a standard normal distribution?
- Infinity
- Not fixed
- 1
- 0
Correct Answer

A. 0

Explanation

The value of the median in a standard normal distribution is 0. In a standard normal distribution, the mean is 0 and the standard deviation is 1. The distribution is symmetric, with half of the values falling below 0 and half above 0. Therefore, the median, which represents the middle value, is 0.

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6.

About which of the following is a normal distribution symmetric?
- Covariance
- Standard deviation
- Mean
- Variance
Correct Answer

A. Mean

Explanation

A normal distribution is symmetric, meaning that it is evenly distributed around its mean. The mean represents the center of the distribution, and the values on either side of the mean are equal. This symmetry is a characteristic of a normal distribution, making the mean the correct answer. Covariance, standard deviation, and variance are not necessarily symmetric and do not represent the center of a distribution.

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1
7.

On which of the following is the shape of a normal distribution curve dependent on?
- Mean
- Variance
- Standard deviation
- Mean deviation
Correct Answer

A. Standard deviation

Explanation

The shape of a normal distribution curve is dependent on the standard deviation. The standard deviation determines the spread of the data around the mean. A larger standard deviation results in a wider and flatter curve, while a smaller standard deviation results in a narrower and taller curve. The mean determines the center of the distribution, but it is the standard deviation that affects the shape.

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4
8.

What is the value of mode in standard normal distribution?
- 1
- 0
- Not fixed
- None
Correct Answer

A. 0

Explanation

In a standard normal distribution, the mode refers to the value that occurs most frequently. In this case, the mode is 0, meaning that 0 is the most common value in the distribution.

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9.

What is the value of the constant e in normal distribution?
- 2.4183
- 2.5183
- 2.6183
- 2.7183
Correct Answer

A. 2.7183

Explanation

The value of the constant e in normal distribution is 2.7183.

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1
10.

What is the skewness of normal distribution?
- 1
- Undefined
- Positive
- Negative
Correct Answer

A. 1

Explanation

The skewness of a normal distribution is always 0. A normal distribution is symmetric, meaning it has equal amounts of data on both sides of the mean. This symmetry results in a skewness of 0. Therefore, the correct answer is 1, which represents undefined, is incorrect.

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0