Question

a set of n = 4 scores has a mean of µ = 11. if 12 points are subtracted from one of the scores, what is the new value for the population mean?

Answer 1

To find the new value for the population mean, subtract 12 points from one of the scores and calculate the new mean using the formula for the population mean.

Step-by-step explanation:

To find the new value for the population mean, we need to subtract 12 points from one of the scores and calculate the new mean. Since the set of scores has n = 4, we can use the formula for the population mean:

Population Mean (µ) = (Sum of Scores) / n

Given that the original mean is 11, we can write the equation as:

11 = (Sum of Scores) / 4

Multiplying both sides by 4 gives:

Sum of Scores = 44

Now, let's subtract 12 from one of the scores. Let's say the score we subtract from is x. So, the new sum of scores would be:

Sum of Scores - 12 = 44 - 12 = 32

Therefore, the new mean would be:

New Mean (µ) = (New Sum of Scores) / n = 32 / 4 = 8