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To find the x value corresponding to a given z-score, you can use the formula:
x = z * σ + μ
Where:
- x is the value in the data set
- z is the z-score
- σ is the standard deviation
- μ is the mean
Given that the mean (μ) is 250 and the standard deviation (σ) is 40, and the z-score is -0.35, we can substitute these values into the formula:
x = -0.35 * 40 + 250
Simplifying, we get:
x = -14 + 250
x = 236
So, the x value corresponding to the z-score of -0.35 is 236.