what proportion scored lower than me, reporting the proportion to 4 decimal place4s

Given that you scored exactly at the mean (22), and the z-score is 0, the proportion of students who scored lower than you can be found using the cumulative distribution function (CDF) for the standard normal distribution.

For a z-score of 0:

- The cumulative distribution function (CDF) value is 0.5000.

This means that **50.00%** of the students scored lower than you. In decimal form, this proportion is **0.5000**.

Would you like more details, or do you have any other questions?

Here are 5 related questions:
1. How can you calculate the proportion for a different score, like 25?
2. What is the z-score for a score of 30?
3. How does the standard deviation affect the spread of scores?
4. What proportion scored higher than you, to four decimal places?
5. How would you interpret a z-score of 1.96?

**Tip:** When reporting proportions, using four decimal places ensures precision, especially in statistical analyses!

Learn how to calculate the proportion of scores lower than a given score using the normal distribution and z-scores. This problem involves understanding the cumulative distribution function (CDF) for the standard normal distribution. Suitable for advanced high school students.

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