I just surfed through the google almost for half an hour in different websites to find out whether it is necessary to color or not in a bar diagram after social class was over. I observed many bar diagrams given there and made a analytical study in it. I observed what type of bar diagrams are colored and what type of bar diagrams are not. I went almost through 50+ diagrams which led me through the notion that there are two different situations even in a simple bar diagram in which one of which begs to be colored and another hates to be colored.
The colouring of a bar diagram depends on the data type.
If all the items on which the data is taken are of same type, then we apply it with same color but if data is taken among different samples the we apply it with different colors. If you are feeling this explanation vague, go through the given example.
For e.g.. if we are dealing with population size of different countries. Then all our data is no. of humans. All the data is same, just no. of humans. So, in such bar diagrams, we can apply with the same colouring. All the boxes in the same color.
Similarly, for the income of different people, all the data is the amount of money earned. So we can color all the same. None it to make different colorings. Same for the expenditure as well, If we are making bar diagram on "expenditures in different sectors " all the data collected is the amount of money expended. So we can color all boxes by same color.
For more clarifications, you can observe the given bar diagrams:

We saw that, in the given data all had the same data types . In first one, only no. of humans and in second one only amount of money. So all were colored the same.
But then when to color different.
If the condition is like no.of different fruits in a market. Here the data differs.
Here are different fruits. We are counting no. of different different fruits. The data collecting items are different. So that's not the same as previous one. And so we apply here with different colors. And also if possible give the index in such cases. You can look at the given bar diagram for more clarification.

But what if the condition was counting no. of Apples produced in different areas.
Here the data collecting item is same everywhere, we are just counting the no. of apples. And hence we use the same color in the every box.
SO I THINK THAT'S A WELL KNOWN WAY OF COLORING A BAR DIAGRAM.
But still, that's only my view after the analytical study of the various data's given in the Google. And this notion satisfies the presentation of the data available in the Google.
AND FINALLY THANKS FOR GOING THROUGH THE WHOLE CONTENT
AND PLEASE DROP YOUR VIEW IN THE COMMENT SECTION BELOW
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