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What else can I help you with?
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 Frequency normal curve?
A frequency normal curve, often referred to as a bell curve, represents the distribution of data points in a dataset where most values cluster around the mean, creating a symmetrical shape. It illustrates the concept of normal distribution, where approximately 68% of the data falls within one standard deviation of the mean, 95% within two, and 99.7% within three. This curve is crucial in statistics as it helps in understanding probabilities and making inferences about population parameters based on sample data.
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 does normal mean in a science way?
In science, "normal" typically means something that is within expected parameters or conforms to a standard. For example, a "normal distribution" refers to a bell-shaped curve that represents the expected distribution of a set of data points.
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.
Why is only one normal table need to find any probability under the normal curve?
A normal distribution is defined by its mean and standard deviation, which are sufficient to describe the entire curve. Once you know these two parameters, you can use the standard normal table (Z-table) to find probabilities for any normal distribution by standardizing values. This process involves converting any normal variable to a standard score (Z-score), which allows you to utilize the same table for all normal distributions. Therefore, only one normal table is needed for any probability under the normal curve.
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.
