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.
