Question

What is the z-score if µ = 122, σ = 52.3, and x = 264.3?
a. -2.72
b. -1.74
c. 2.72
d. 1.74

Answer 1

Answer: c. 2.72

Step-by-step explanation:

To calculate the z-score, which represents the number of standard deviations a given value (x) is from the mean (µ) in a normal distribution, we use the formula:

z = (x-μ)/σ, where:

• z is the z-score
• x is the given value
• μ is the mean
• σ is the standard deviation

We are given that µ = 122, σ = 52.3, and x = 264.3. Let's plug these values into the formula:

z = (264.3-122)/52.3

z = 2.72

The z-score is c) 2.82.