The t-distribution is most useful for small sample sizes, when the population standard deviation is not known, or both.The t-distribution is defined by the degrees of freedom.The t-distribution does not make this assumption. The normal distribution assumes that the population standard deviation is known.Like a standard normal distribution (or z-distribution), the t-distribution has a mean of zero.If you think about folding it in half at the mean, each side will be the same. Like the normal distribution, the t-distribution is symmetric.Like the normal distribution, the t-distribution has a smooth shape.Instead of diving into complex math, let’s look at the useful properties of the t-distribution and why it is important in analyses. It has a precise mathematical definition. The t-distribution is similar to a normal distribution.
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