Reimbursement means paying someone back for something.
Like, if you lend money, you will be reimbursed when paid back. But you can also reimbursed for your time or effort, etc, or if someone damaged your property, you can be reimbursed for that.
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The mathematical term for "mean" is "mean".The popular, or colloquial term for "mean" is "average".
No, the math term ratio doesn't mean multiply.
There is no statistical term such as "deviation mean".
mean: average
Mean is the mathematical term for average.