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A normal curve is determined by which two population parameters?
Wiki User
∙ 14y ago
1. mu (population mean) 2. sigma (population standard deviation)
Wiki User
∙ 14y ago
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How do you identify a normal curve?
You cannot. It has a characteristic bell-shaped curve but so does a Student's t with enough degrees of freedom. There are other distributions which, with suitable choice of parameters can be made to look very similar to the Normal curve.
What are the two parameters that are necessary to determine probabilities for a particular normal distribution curve?
Mean and Standard Deviation
What is unimodal curve?
a branch of applied mathematics concerned with the collection and interpretation of quantitative data and the use of probability theory to estimate population parameters
What are the characteristics of a normal density curve?
It is a symmetric function which is fully described by two parameters. It is called bell shape but I have never seen a bell whose rime is infinitely far away from its apex. The area under the curve is equal to 1.
What is the meaning of normal distribution with examples?
According to the Central Limit Theorem, if you take measurements for some variable from repeated samples from any population, the mean values have a probability distribution which is known as the Gaussian distribution. Because of the fact that it is found often it is also called the Normal distribution. It is a symmetric distribution which is fully determined by two parameters: the mean and variance (or standard deviation). It is also sometimes referred to as the bell curve although I have yet to see a bell that stretches out at its bottom towards infinity!The normal distribution can be used for the heights or masses of people, for examination scores.
Why don't all normal curves have the same standard deviation?
Because the standard deviation is one of the two parameters (the other being the mean) which define the Normal curve. The mean defines the location and the standard deviation defines its shape.
Is the standard normal curve non symmetrical?
The standard normal curve is symmetrical.
Normal curve is the meaning of standard normal distribution?
No, the normal curve is not the meaning of the Normal distribution: it is one way of representing it.
What is the minimum population required for a bell curve?
There is no minimum number: very few observations can be indicative. As the population number increases the observations should get closer to the Normal distribution. You should have 30 or so observations to get a smooth-ish curve.
What percent of a normal population is within 2 standard deviations of the mean?
By the definition of standard deviation, 95.46% of the normal population will be within 2 SD of the mean. Explanation: The normal distribution of a population means it follows the "bell curve". The center of this bell curve is the population's mean value. One standard deviation defines two areas (on the left and right side of the central "mean" value) under the bell curve that each have 34.13% of the population. The next standard deviation adds two additional areas under the curve, each having 13.6% of the population. Adding the areas under the curves on both sides gives us (34.13% + 13.6%) x 2 = 95.46%
What are the properties of a standard normal curve?
It is a normal curve with mean = 0 and variance = 1.
What is the area under the standard normal curve?
the standard normal curve 2
