Question

Find u if a normal distribution has a standard deviation of 3.5 with a z-score of -0.74 for a value of 6.2

Answer 1

• 8.79

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Use the formula for z-score

• z = (x - μ) / σ

Substituting the given values, we get:

• -0.74 = (6.2 - μ) / 3.5

Solve it for mean μ:

• -0.74 * 3.5 = 6.2 - μ
• -2.59 = 6.2 - μ
• μ = 6.2 - (-2.59)
• μ = 8.79

Therefore, the mean of the normal distribution is 8.79.