The normal distribution | how to interpret and use it

In this video, we will have a look at the normal distribution, which is the most fundamental distribution in statistics:
1. How the normal distribution arises (0:26)
2. How to interpret and use it (03:41)
3. The standard normal distribution (11:07)
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[@jonathanrush9760]

Hello! Nice video! Can you please explain how you came up or why the density (on the y-axis) is 0.01, 0.02, 0.03, and 0.04? i've seen other density curves and their curves have 0.1, 0.2, 0.3, 0.4, etc. Suppose that i have a normal distribution about weight, how would i know that the highest value of the density or y-axis would be 0.04 or 0.4 or 0.5 or 0.6?

[@tilestats]

At 10:30 you see how the height of the curve is calculated. If the standard deviation is equal to one (which it is for a standard normal distribution), the height of the peak will be around 0.4. However, in this video, the standard deviation is equal to 10, which means that the curve will be wider and that the peak will be reduced to about 0.04.

[@jonathanrush9760]

@@tilestats Ahh. Thank you for explaining!!

[@maitripaul8132]

Hello...just found your channel..watching all your videos..one by one. Videos are very crisp and to the point. Can you kindly make a video on sample size calculation in detail?

[@tilestats]

Have you seen this? kzbin.info/www/bejne/npfac4dpq72hiKs And the 2 videos about type 2 error before this one.

[@sharbadebkundu9913]

Is there any way to calculate the area without any software??

[@tilestats]

You can use a table en.wikipedia.org/wiki/Standard_normal_table