# Round to nearest ones place value ex ante

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BuMatlab on 29 Sep 2022
Answered: Steven Lord on 29 Sep 2022
I am trying to round a number to certain ones place values that are unknown ex ante.
For example, the following value is unkown at first:
randi([3700 3705])
Now, once that number is known, I would like to know if the random number is closer to 3700 or 3705. In addition, the values of 3700 and 3705 are unkown at first as well.
Seems simple, but I'm struggling with this one, so any help is much appreciated!

Eric Delgado on 29 Sep 2022
Lim_down = 3700;
Lim_up = 3706;
x = randi([Lim_down Lim_up])
x = 3704
Lim_center = mean([Lim_down, Lim_up]);
if x < Lim_center; fprintf("Closer to %.0f", Lim_down);
elseif x > Lim_center; fprintf("Closer to %.0f", Lim_up);
else; fprintf("In between...");
end
Closer to 3706

David Hill on 29 Sep 2022
a=1400;
b=2600;
r=randi([a b]);
abs(r-a)<abs(r-b);

Steven Lord on 29 Sep 2022
theRange = [3700 3705];
x = randi(theRange, 10, 1);
closer = interp1(theRange, theRange, x, 'nearest');
Let's show the results in a table for easy interpretation.
results = table(x, closer, 'VariableNames', ["Generated Number", "Closer Endpoint"])
results = 10×2 table
Generated Number Closer Endpoint ________________ _______________ 3701 3700 3701 3700 3700 3700 3702 3700 3705 3705 3702 3700 3705 3705 3701 3700 3700 3700 3704 3705

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