Question

Calculate the standard score of the given x value, x=46, where μ=54.4 and σ=54.9. Round your answer to two decimal places.

Answer 1

The standard score or z-score for x=46 with a mean (μ) of 54.4 and a standard deviation (σ) of 54.9 is -0.15 after rounding to two decimal places.

Step-by-step explanation:

The question asks to calculate the standard score (or z-score) for a given value of x considering a certain mean (μ) and standard deviation (σ). The calculation for the z-score is performed using the formula:

z = (x - μ) / σ

Substituting the given values into the formula:

z = (46 - 54.4) / 54.9

z = -8.4 / 54.9

z = -0.15291262

After rounding to two decimal places, the z-score for x=46 is:

z = -0.15