What is the characteristic function of a normal distribution?

1 Answer
Nallasivam V
Apr 24, 2016

Refer explanation section

Explanation:

Important properties of a Normal Curve

1 The curve is symmetric. It has no skewness.

2 It is neither too flat (platykurtic) nor too peaked (leptokurtic). It is mesokurtic.

3 Its arithmetic mean equals its median and mode.

4 It is unimodal

5 The area under the curve corresponds to the total frequencies.

6 Relationship among its mean, standard deviation, frequencies and area is unique.

68.26% of the total frequency lies between #barx + sigma# and #bar x - sigma#

95.44% of the total frequency lies between #barx + 2.sigma# and #barx - 2.sigma#

99.74% of the total frequency lies between #x + 3.sigma# and #barx - 3.sigma#

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