MAFS.912.S-ID.1.4
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MAFS.912.
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MAFS.912.
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MAFS.912.
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What You Need To Know...
MAFS.912.S-ID.1.4 – Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages.
- The benchmark will be assessed using Multiple Choice Response, Multi-select Response or Open Response.
- Items may require students to calculate the z-score and use it to compare a data point to the population or to use the z-score to compare two data points.
- Students should be familiar with the z-score table.
Example One
The heights of the male students at a college are approximately normally distributed. Within this curve, 95% of the heights, centered about the mean, are between 62 inches and 78 inches. The standard deviation is 4 inches. Use this information to estimate the mean height of the males. Approximate the probability that a male student is taller than 74 inches. Explain how you determined your answers.
Example Two
Example Three
Example Four
Additional Examples
Situations & Normal Distribution
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Applying the Empirical Rule
Extending the Empirical Rule
Find z-scores
Use z-scores & Tables
Use Technology
Reference Sheet
