A population has a mean of µ = 30. If 3 points are added to each score, what is the mean for the new distribution?
Question
A population has a mean of µ = 30. If 3 points are added to each score, what is the mean for the new distribution?
Solution
To solve this problem, follow these steps:
- Understand the given information: The original population has a mean (µ) of 30.
- Determine the effect of adding points: If 3 points are added to each score in the population, each individual score increases by 3.
- Calculate the new mean: When a constant value is added to each score in a distribution, the mean of the distribution also increases by that constant value.
So, the new mean is:
Therefore, the mean for the new distribution is 33.
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