Question 1200097
Properties of normal distribution

1)      The normal curve is bell shaped in appearance.

2)      There is one maximum point of normal curve which occur at mean.


3)      As it has only one maximum curve so it is unimodal.

4)      In binomial and possion distribution the variable is discrete while in this it is continuous.

5)      Here mean= median =mode.

6)      The total area of normal curve is 1. The area to the left and the area to the right of the curve is 0.5.

7)      No portion of curve lies below x-axis so probability can never be negative.

8)      The curve becomes parallel to x-axis which is supposed to meet it at infinity.

9)      Here mean deviation = 4/5 standard deviation.

10)  Quartile deviation = 5/6 mean deviation

11)   Quartile deviation : mean deviation : standard deviation

           10                :          12             :        15


12)   4 standard deviation = 5 mean deviation = 6 quartile deviation

68% of the data is less than 1 standard deviation away from the mean (1SD). 95% of the data is less than two standard deviations away from the mean. 99.7% of the data is less than three.