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The normal distribution and z-scores — Homework
Use z = (x-mean)/(standard deviation) in whichever direction the problem needs.
- 1.A data set is normally distributed with mean 60 and standard deviation 10. Find the z-score for x=85.
- 2.Using the same distribution, find the z-score for x=45.
- 3.In a normal distribution with mean 200 and standard deviation 25, what value of x has a z-score of -2?
- 4.Using the empirical rule, about what percent of data falls within 1 standard deviation of the mean? Using mean 60, standard deviation 10, what is that range?
- 5.A value has a z-score of 0.5. Is it above or below the mean, and by how much (in standard deviations)?
🌲 Homeschool of the FutureEleventh Grade · Math · week 33 homework