Some time back when the famous Dabbawalas of Mumbai
were presented with an award for achieving Six Sigma, the
poorly educated dabbawalas were heard asking each other ye sigma kya cheeze hai? (What is this `Sigma'?)
Even though the answer is elementary for statisticians, there are glaring gaps
in its understanding among the practitioners and even the
self-appointed `quality consultants'. "Many of
them claim expertise in Six Sigma when they barely understand the tools
and techniques and the Six Sigma
roadmap." Hence, I start by a
quick overview of the fundamentals. When any product is made in large
quantities, even the most sophisticated machine will not be producing
`exactly' identical products. There are bound to be slight variations, however small
it might be. For example, if the product, say a cellphone, is claimed to
weigh just 80 gms, individual cellphones produced may actually have
weights like 80.03 gms, 79.98 gms, 80.05 gms, etc. Of course, the average weight
of many such products made over a period of time will be extremely close
to the target value of 80 gms, if not 80 gms itself. The variation of actual
values from the target value is measured by sigma, a Greek symbol,
which stands for the standard deviation. Smaller the value of standard
deviation or sigma, the closer the product values are to the target and larger
the value of sigma, the wider the values are scattered around the target
value. Hence, the attempt should be to reduce the value of sigma to the
minimum possible. Slight variations in individual values, which are
unavoidable as explained earlier, are called random variations. But if there
exists any specific cause, like malfunctioning of the machine, material defects,
operator fatigue or mistake or following the wrong method, etc., it will
give glaring deviations to the average of the values got each day or
significant fluctuations of individual values. Hence, to keep a track of the
quality, each day a sample of products is taken and their average is noted. The
average so got should ideally be the target value itself, or, if not,
`acceptably close' enough to it. Similarly, the variations in values of
individual products produced in a day should also be within `acceptable limits'. Now
the big question is, what is this so called `acceptable limit'?
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