@mehdi jafari 

Thank you ... that's a nice formulation.

I appreciate the help.

@Kitonum 

Yes - that did the trick!

Thanks for your help. I appreciate it.

@Kitonum 

Thank you for the timely help. I appreciate it.

Do you know of any way to change one of the functions to display as an animated column chart?

@acer 

Yes - the example is indeed trivial (deliberately).

Sorry for the confusion - you have certainly addressed my query, so many thanks for these methods.

@Christopher2222

This is a great addition to my arsenal! Thanks for sharing.

@tomleslie 

Thanks so much ... that did the trick!

@acer 

Thanks for your kind efforts in getting me sorted. I love that approach. Now I can go to work!

@acer 

Thank you - I tried looking this up to no avail.

@tomleslie 

Many thanks for this. Really interesting solution.

When I run this workbook on my machine (Maple 2018), I get an error message: Reserved word 'local' unexpected.

Perhaps this is related to different versions used?

@acer 

Thanks so much ... a really nice routine ... the use of the sequence function is elegant.

Can you also suggest an approach to obtain the midpoint / centroid of each internal grid? 

@Carl Love 

Thank you. I'll try that approach ..

@Carl Love 

Each point is assigned a weight but the weight does not need to be unique to any point - in fact, thinking about this further, points may have common weights. I wanted to ensure that weights are not necessarily equal at each point in the scatterplot and so the question you asked is indeed valid. I apologise for not being specific here.

@Daniel Skoog 

This is useful - I appreciate the steer. This subject appears to be very interesting  - perhaps, fascinating ... I'm just beginning to touch the surface.

If I have the good fortune to advance this to the weighted cluster problem, I'll post my findings here.

You have my thanks. 

@Carl Love 

Good interpretation ... thanks.

I was thinkingof the weighted mean centre of a cluster - in any case, the distribution of each point weight will influence the location of the centre of mass in that region / cluster.

@Daniel Skoog @Carl Love

Extending the problem ...

Suppose each point is assigned a unique weight. Does anyone know whether this (or the fuzzy clustering) routine be modified to support weighted clustering?