Feeling whimsical? Then stay away from the winsorized mean.
A winsorized mean is kind of like taking a normal mean (i.e. “average” of a set of numbers), except you replace the tail-ends of the set of numbers to make the mean less sensitive to outliers.
If you’ve ever taken an average that includes a large outlier, you might have been annoyed at how inaccurate it seemed. For instance, if you had 10 dogs and 8 of them drank one bowl of water a day, 1 of them drank half a bowl of water a day, and 1 had a condition that caused it to drink 10 bowls of water per day, the average bowls of water your dogs consumed would be skewed. The winsorized mean of this data would replace that one dog consuming 10 bowls of water per day with more moderate data, and the mean would be much closer to the median, which is one bowl of water per day per doggo.
A winsorized mean is a type of weighted average, being weighted toward the less extreme parts of the data, since the ends are truncated and replaced with less extreme values. Usually 10 to 25 percent of both ends are replaced, depending on how wacky the data is.
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and finance Allah shmoop weighted average contribution margin in multi
product companies Well you want a company that makes salad
dressings When you started out you had one product a
meat flavored salad dressing for people who want to be
vegan but missed the taste of meat and don't miss
the guilt At that point it was relatively easy to
attribute costs and margins He only had one product to
worry about Eventually though you expanded You launched a second
product a salad dressing that tastes like meat from endangered
species black rhino twist and giant panda barbecue Mostly Well
don't worry The flavors are all simulated with chemicals No
animals were actually harmed in the making of this video
Okay so figuring out contribution margin becomes more complicated Here
You use a weighted average contribution margin to let you
know which product has the higher margin or contribution to
your profits In any company you have two basic types
of expenses There are expenses that relate directly to your
product You're trying to make light these expenses air known
as cog zor costs of goods sold There are also
expenses that don't apply to a specific product but to
the cost of running the company as a whole Regular
people would call these expenses overhead But just like rappers
and private detectives and old movies accountants have you know
their own lingo They call these expenses S G N
A or sales general and administrative expenses Imagine for a
second that we're back when your company had only one
product You want to figure out how many bottles of
cell addressing you had to sell to reach break even
the cause for the salad dressings A buck fifty per
bottle that covers chemicals that make the meat flavor in
the herbs and spices and the things like the plastic
for the bottle and the printing of the labels and
all That stuff also covers the direct labor that goes
into making the bottles of dressing But you've got all
the overhead stuff you have to cover as well The
rent on your headquarters the advertising budget the CEO's salary
all that stuff All that overhead is DNA in accounting
slang and it adds up to three million bucks a
month You Sela Sela dressing for three dollars a bottle
to retailers so your gross profit or gross contribution per
bottle of dressing is a buck fifty right It cost
you a buck Fifty in *** to make it yourself
for three dollars And you got a buck fifty leftover
Well that buck fifty is known as contribution and its
margin here is fifty percent the amount each bottle contributes
Either too well paying the overhead costs or the bottom
line depending on how many items you're selling here right
So you want to know how many bottles you need
to sell to cover that three million dollars a month
Take three million divided by the buck fifty and that
gets you two million bottles Once you sell two million
bottles you've covered your overhead nut and the gross profit
then start to all fall to the bottom line Okay
simple enough But how about when you move on to
multiple products Those unattached overhead costs then get spread over
additional products so the math gets a lot more complicated
when you try to assign the amounts of overhead So
we enter the weighted average contribution margin Well basically you're
taking multiple products and splitting the overhead across him The
weighted average comes in well because you need to split
the overhead fairly You do so by looking at the
contribution margin for each product and putting it in context
for the sales mix So you launch your second product
You know that salad dressing that tastes like meat from
endangered animals Endangered species flavor sells for four dollars two
customers but cost to twenty five to make So the
contribution It's a buck seventy five It's a more specialized
flavor so you only sell half the volume of the
original flavor If you sell two million bottles of original
flavor to cover you're not well You can expect to
sell only one million bottles of the endangered species New
flavor You'LL earn contribution margin of a dollar fifty per
bottle for the original or three million dollars total Meanwhile
one million bottles of the new flavor will get you
one point seven five million right They sold three million
total bottles of dressing two million of the original self
and one million in the new stuff and you got
four Seventy five or four point seven five million to
apply to the overhead and or to the bottom line
Well four point seven five million divided by three million
bottles gives you a weighted average of approximately a dollar
fifty eight per bottle So how many total bottles and
then need to be He sold the break even including
both the old stuff and the new stuff Well you
still have the three million dollars in overhead The overhead
didn't change weighted average contribution margin of a buck fifty
eight there so you get three million divided by the
dollar Fifty eight gives you about one point eight nine
nine million bottles total to break even And if you're
two to one product mix hold well then you'Ll likely
sell about six hundred thirty three thousand bottles of the
new stuff and about one point two six six million
of the old stuff And that's the target you need
to hit to make up your overhead cough some more
than that number and you start working on product three
A salad dressing that tastes like already extinct animals You
know mammoths and dodos and there's really no accounting for
taste But that's very different video
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