# Attitude - coincidence or not?

## The picture and some fun facts

Take a pause here and give yourself a moment to think about what’s going on in this picture.

Done? Ok, you had a chance for an unbiased opinion.

I saw this image on LinkedIn last week and was much amused. Part of me understands it is a memorable way to highlight the importance of *attitude* at work. The other part could not help to make fun of this. Translating words to a percentage of *importance at work* is plain nonsense. Some words even map to more than 100%, e.g. `nonsense`

translates to `105`

. Still, it’s easy to ridicule things, but there’s little value to it, so I decided to investigate a bit further.

## What are the odds?

`words`

is a standard file on all Unix-like OS, found in `/usr/share/dict/words`

. It contains a newline-delimited list of 235886 dictionary words. I’ll assume it is a representative sample. With this, we can easily compute that there are exactly `2302`

words in there that translate to `100%`

.

```
abactinally
abrogative
absinthol
acclimation
accumulate
acenaphthene
achroous
acknowledge
acriflavine
acromegaly
...
```

`immature`

, `grumpy`

, `unclever`

and `foolship`

are just a few of the ones that I found quite funny in the context of the picture in question.

But what are the odds? Let us assume all these words ended up in `100% bucket`

- it contains about `0.98%`

of total words. What about other buckets? Here is what we get if we check the count of all possible buckets.

Data fits normal distribution with parameters:

```
mean = 112.3882
standard deviation = 40.89031
```

With this, we see that it’s not that uncommon to end up with a value near `112`

. Actually, if we permute the way we assign numbers to letters we will end up with a normal distribution as well. This might seems surprising at first, but it makes more sense when you have a look at the distribution of word lengths.

Let us have a look at the distribution of counts with regard to value grouped by length.

Distribution in red reveals that it’s not that uncommon for a word of length `8`

to have a value of `100`

.

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