A mean is an arithmetic average of a set of observations. The value of b in terms of a will be equal to 5a.
What is Mean?
A mean is an arithmetic average of a set of observations. It is given by the formula,
Mean = (Sum of observations)/Number of observations
The sum can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.
Given that the average (arithmetic mean) of 0, a, and b is 2a. Now, to know the value of b in terms of a, we need to write the mean in standard form. Therefore, we can write the mean as,
Mean = (Sum of observations)/(Number of observations)
2a = (0 + a + b) / 3
6a = 0 + a + b
b = 6a - 0 - a
b = 5a
Hence, the value of b in terms of a will be equal to 5a.
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