Question

a banker was analyzing credit scores of mortgage clients when he accidentally deleted one of his clients scores from his data table. he already calculated the mean, standard deviation, and z-scores.

mean = 780
\\(\sigma \approx 28\\)
\\(z_x = 1.07\\)

\\(z_x = \frac{x - \mu}{\sigma}\\)

which equation can you use to calculate the missing credit score?

\\(1.07 = \frac{x - 780}{28}\\)
\\(780 = \frac{x - 28}{1.07}\\)
\\(28 = \frac{x - 1.07}{780}\\)

the missing credit score was

Explanation:

Identify the given values and formula

Using the Z-Score Formula knowledge point

$$
LATEXBLOCK0
$$

Substitute values into the formula

Using the Z-Score Formula knowledge point

$$ 1.07 = \frac{x - 780}{28} $$

Solve for the missing credit score

Using the Linear Equations knowledge point

$$
LATEXBLOCK1
$$

Answer:

Question 1

• (A) \(1.07 = \frac{x - 780}{28}\) (Correct answer)
• (B) \(780 = \frac{x - 28}{1.07}\)
• (C) \(28 = \frac{x - 1.07}{780}\)

Question 2

The missing credit score was <blank>810</blank>