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The distributions can have any shape that you like.

Q: What is the shape of each distribution in a data set?

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the midpoint of the data set

A bimodal distribution.

What is the convenient scale and interval to use for graphing each set of data set?

When each value occurs only once in the data set.

A frequency distribution plot.

Related questions

You describe the shape, not of the data set, but of its density function.You describe the shape, not of the data set, but of its density function.You describe the shape, not of the data set, but of its density function.You describe the shape, not of the data set, but of its density function.

A normal data set is a set of observations from a Gaussian distribution, which is also called the Normal distribution.

The answer will depend on the set of data!

the midpoint of the data set

Frequently it's impossible or impractical to test the entire universe of data to determine probabilities. So we test a small sub-set of the universal database and we call that the sample. Then using that sub-set of data we calculate its distribution, which is called the sample distribution. Normally we find the sample distribution has a bell shape, which we actually call the "normal distribution." When the data reflect the normal distribution of a sample, we call it the Student's t distribution to distinguish it from the normal distribution of a universe of data. The Student's t distribution is useful because with it and the small number of data we test, we can infer the probability distribution of the entire universal data set with some degree of confidence.

Frequently it's impossible or impractical to test the entire universe of data to determine probabilities. So we test a small sub-set of the universal database and we call that the sample. Then using that sub-set of data we calculate its distribution, which is called the sample distribution. Normally we find the sample distribution has a bell shape, which we actually call the "normal distribution." When the data reflect the normal distribution of a sample, we call it the Student's t distribution to distinguish it from the normal distribution of a universe of data. The Student's t distribution is useful because with it and the small number of data we test, we can infer the probability distribution of the entire universal data set with some degree of confidence.

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The normal distribution allows you to measure the distribution of a set of data points. It helps to determine the average (mean) of the data and how spread out the data is (standard deviation). By using the normal distribution, you can make predictions about the likelihood of certain values occurring within the data set.

range

A bimodal distribution.

The Uniform Distribution.