A population with a mean of µ = 6 has Σ X = 42. How many scores are in the population?​Group of answer choices​N=42​N = 42/6 = 7​N = 6*42 = 252​N = 6/42 = 1/7

1. ### Break Down the Problem

To find how many scores (N) are in the population, we will use the relationship between the sum of scores (ΣX), the mean (µ), and the number of scores (N). The formula is given by:

$\mu = \frac{\Sigma X}{N}$

2. ### Relevant Concepts

We know:

• Mean ($\mu$) = 6
• Sum of scores ($\Sigma X$) = 42

From this, we can rearrange the formula to solve for $N$:

$N = \frac{\Sigma X}{\mu}$

3. ### Analysis and Detail

Substituting the known values into the formula:

$N = \frac{42}{6}$

Let's perform the calculation:

$N = 7$

4. ### Verify and Summarize

We can verify this by checking the calculation:

$\text{If } N = 7, \text{ then } \mu = \frac{42}{7} = 6 \text{ which is correct.}$

Final Answer

The number of scores in the population is $N = 7$.