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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?

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Solution

To solve this problem, follow these steps:

  1. Understand the given information: The original population has a mean (µ) of 30.
  2. Determine the effect of adding points: If 3 points are added to each score in the population, each individual score increases by 3.
  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: New mean=Original mean+3 \text{New mean} = \text{Original mean} + 3 New mean=30+3 \text{New mean} = 30 + 3 New mean=33 \text{New mean} = 33

Therefore, the mean for the new distribution is 33.

This problem has been solved

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