Question
9. A population of \( N=7 \) scores has a mean of \( \mu=13 \). What is the value of \( \Sigma X \) for this population?
Ask by Robbins Crawford. in the United States
Jan 26,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The sum of all scores (\( \Sigma X \)) is 91.
Solution
To find the sum of all scores (\( \Sigma X \)) in the population, you can use the formula for the mean:
\[
\text{Mean} (\mu) = \frac{\Sigma X}{N}
\]
Where:
- \( \mu \) is the mean,
- \( \Sigma X \) is the sum of all scores,
- \( N \) is the number of scores.
Given:
- \( \mu = 13 \)
- \( N = 7 \)
Rearranging the formula to solve for \( \Sigma X \):
\[
\Sigma X = \mu \times N = 13 \times 7 = 91
\]
**Answer:** The sum of all scores (\( \Sigma X \)) is **91**.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution The Deep Dive
To find the value of \( \Sigma X \) (the sum of all scores) for the population, you can use the formula for mean: \[ \text{Mean} (\mu) = \frac{\Sigma X}{N} \] Rearranging this formula to solve for \( \Sigma X \) gives: \[ \Sigma X = \mu \times N \] Now, plug in the given values: \[ \Sigma X = 13 \times 7 = 91 \] So, the value of \( \Sigma X \) for the population is \( 91 \).
