A sample of n = 5 scores has a mean of M = 12. What is Σ X for this sample?Group of answer choices52=255/12 = 0.4175(12) = 6012/5 = 2.40
Question
A sample of n = 5 scores has a mean of M = 12. What is Σ X for this sample?
Group of answer choices
- 52 = 25
- 5/12 = 0.417
- 5(12) = 60
- 12/5 = 2.40
Solution
1. ### Break Down the Problem
We need to determine the sum of scores () given the mean () of a sample of size .
2. ### Relevant Concepts
The mean is calculated using the formula: where:
- is the mean,
- is the sum of the scores, and
- is the number of scores.
3. ### Analysis and Detail
To find , we can rearrange the formula for the mean: Substituting the values: Calculating the sum:
4. ### Verify and Summarize
The calculations have been verified through the rearranged formula, confirming that the sum of scores for the given sample is .
Final Answer
The value of for this sample is .
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