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Yes. By definition. A normal distribution has a bell-shaped density curve described by its mean and standard deviation. The density curve is symmetrical(i.e., an exact reflection of form on opposite sides of a dividing line), and centered about (divided by) its mean, with its spread (width) determined by its standard deviation. Additionally, the mean, median, and mode of the distribution are equal and located at the peak (i.e., height of the curve).
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Are all symmetric distribution are normal?
No. The binomial distribution (discrete) or uniform distribution (discrete or continuous) are symmetrical but they are not normal. There are others.
What is true regarding the normal distribution?
It is symmetrical
Does all symmetrical distributions are normal distribution?
It is not necessary that all symetric distribution may be normal.
What is the shape of a normal distribution?
It is a symmetrical, "bell-shaped" curve. The tails are infinitely long.
What do you call the bell shaped curve that represents a symmetrical distribution of scores?
You call it a bell shaped curved. It may or may not be Gaussian (Normal).
