Shivlinga and the mystery life lessons

Shivlinga is a popularly worshiped by many in India across the country from north to south, west to east. It is an abstract form associated with Lord Siva one of the three main Gods in hindu culture  that forms the trimurti or the hindu trinity Brahma the creator, Vishnu the preserver, and Shiva the destroyer or transformer. There are lot of theories behind what Shivlinga represents and why it is worshiped but I will discuss the most interesting and non-conventional one that I came across recently while watching a video.

It says that Shivalinga is actually a normal distribution with a positive skew. If you look at the image below you will understand what I mean. (I created it using different images from Internet and superimposing a normal distribution on Shivlinga). I further extended it using balanced normal distribution along with the positive and negative distributions and I got the trinity !

So Shivliga is like a statistical function, what's the significance? To understand this, let's look at the statistical significance of the normal distribution. From Wiki
"In probability theory, the normal (or Gaussian) distribution is a very common continuous probability distribution. Normal distributions are important in statistics and are often used in the natural and social sciences to represent real-valued random variables whose distributions are not known.
The normal distribution is useful because of the central limit theorem. In its most general form, under some conditions (which include finite variance), it states that averages of random variables independently drawn from independent distributions converge in distribution to the normal, that is, become normally distributed when the number of random variables is sufficiently large."

In short everything is a Normal distribution. So what does the positive skew mean? The normal distribution with the positive skew has a secret message on how life should be lived which is also mentioned in the maha mrityunjaya mantra below:

Maha Mrityunjaya Mantra:
1: Om Try-Ambakam Yajaamahe
2: Sugandhim Pusstti-Vardhanam
3: Urvaarukam-Iva Bandhanaan
4: Mrtyor-Mukssiiya Maa-[A]mrtaat ||

Meaning:
1: Om, We Worship the Three-Eyed One (Lord Shiva),
2: Who is Fragrant (Spiritual Essence) and Who Nourishes all beings.
3: May He severe our Bondage of Samsara (Worldly Life), like a Cucumber (severed from the bondage of its Creeper), ...
4: ... and thus Liberate us from the Fear of Death, by making us realize that we are never separated from our Immortal Nature.

The third line actually signifies the positively skewed normal distribution. We come to life and as we rapidly grow young we become more and more active, ambitious and adventurous where we want to do, experience & achieve everything that life has to offer (this is the peak of the Shivlinga or the normal distribution), but once we reach the peak we must slowly and gradually detach ourselves from the bondage of the material world so that our transition out of this life is easy, without fear and peaceful without any attachment to the material existence (like a cucumber). This can happen only if we work on it gradually over a long period of time like the positive skew. Worshiping the Shivlinga is actually a reminder for us to bring this positive skew in our life, being prepared for the transition instead of dying abruptly while still full of earthly desires. Note that traditionally Maha Mrityunjaya Mantra is also recited to avoid pre-mature or abrupt death (Mrityunjaya: victory over death). It is in a way a request for more time to seek a gradual transition instead of abrupt ending, considering eternal victory over death is impossible.

Now let's look at the Sanskrit meaning of linga 
"The lingam (also, linga, ling, Shiva linga, Shiv ling, Sanskrit meaning "mark", "sign", "inference" ) is a representation of the Hindu deity Shiva used for worship in temples." 
Makes sense that it carries a mystery lesson for life :) ?