Which distribution is symmetric and bell-shaped?

Which distribution is symmetric and bell-shaped?

the normal distribution
A bell curve is a common type of distribution for a variable, also known as the normal distribution. The term “bell curve” originates from the fact that the graph used to depict a normal distribution consists of a symmetrical bell-shaped curve.

Which distribution is perfectly symmetrical?

In a perfectly symmetrical distribution, the mean and the median are the same. This example has one mode (unimodal), and the mode is the same as the mean and median. In a symmetrical distribution that has two modes (bimodal), the two modes would be different from the mean and median.

What can be said about a perfectly symmetrical bell-shaped normal distribution?

In a perfectly symmetric bell shaped “normal” distribution: the mean equals the median. the median equals the mode.

Which distribution types are symmetrical?

However, there are other distributions that display symmetry:

• The bimodal distribution can be symmetrical if the two peaks are mirror images.
• Cauchy distributions have symmetry.
• The logistic distribution, which has long tails.
• The uniform distribution is symmetric.

Is T distribution bell-shaped?

The T distribution, like the normal distribution, is bell-shaped and symmetric, but it has heavier tails, which means it tends to produce values that fall far from its mean. T-tests are used in statistics to estimate significance.

Why normal distribution is bell-shaped?

For a perfectly normal distribution the mean, median and mode will be the same value, visually represented by the peak of the curve. The normal distribution is often called the bell curve because the graph of its probability density looks like a bell.

Is Chi square distribution symmetric?

Chi-square is non-symmetric. There are many different chi-square distributions, one for each degree of freedom. The degrees of freedom when working with a single population variance is n-1.

Is T distribution bell shaped?

Which of the following is true about a perfectly symmetrical distribution?

A perfectly symmetrical distribution, the median and the mode are the same. If it has only one mode, then the mode is also equal to the mean and median, and this is called a unimodal perfectly symmetrical distribution.

Which of the following statements is true for symmetrical distribution?

Answer and Explanation: In a symmetrical distribution, the mean, median, and mode are same so the first statement is true.

Is Chi-square distribution symmetric?

Are F distributions symmetric?

Here are some facts about the F distribution. The curve is not symmetrical but skewed to the right. There is a different curve for each set of degrees of freedom.