The characteristics of a normal distribution curve are:

A. It reflects an asymmetrical distribution

B. It is bell‐shaped

C. It does not show standard deviations

D. The mean, mode and median coincide at the centre of the distribution

E. The curve is based on an infinite number of observations

Choose the correct answer from the options given below: 

The normal distribution is a symmetrical continuous probability distribution on both sides of the mean, with the right side of the center mirroring the left.

Key Points

• The whole area under the normal distribution curve equals one and the area under the curve reflects probability. 
• In a normal distribution, most continuous data values cluster around the mean, and the further a value is from the mean, the less likely it is to occur.
•  Normal distributions are continuous and asymptotic, meaning that their tails approach but never touch the x-axis.
• The mean, median, and mode of a completely normal distribution will all be the same value. 
• The probability density graph of the normal distribution resembles a bell which is commonly referred to as the bell curve.

Thus, the characteristics of a normal distribution curve are bell‐shaped, mean, mode, and median coincide at the center of the distribution and the curve is based on an infinite number of observations.