Problem

In a normal distribution, the mean (μ) is 12 and the standard deviation (σ) is 2. Find the z-score for x = 15.

Answer

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Answer

Step 3: Simplify the expression to find the z-score. This gives z=32=1.5

Steps

Step 1 :Step 1: Recall the formula for the z-score, which is z=xμσ, where x is the value from the data, μ is the mean, and σ is the standard deviation.

Step 2 :Step 2: Substitute the given values into the formula. Thus, we have z=15122

Step 3 :Step 3: Simplify the expression to find the z-score. This gives z=32=1.5

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