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Abe Miracast 1Practice ProblemsStatisticsEmpirical Rule 1. Given an approximately normal distribution with a mean of 159 and a standard deviation of 70. a) What percent of values are within the interval

How to fill out empirical rule worksheet

How to fill out empirical rule worksheet

1. To fill out the empirical rule worksheet, follow these steps:
2. Start by gathering the data set on which you want to apply the empirical rule.
3. Calculate the mean of the data set by summing up all the values and dividing by the total number of values.
4. Calculate the standard deviation of the data set. You can use a statistical software or the following formula: take the square root of the variance, where variance is the average of the squared differences from the mean.
5. Once you have the mean and standard deviation, you can use them to apply the empirical rule. The empirical rule states that approximately 68% of the data falls within one standard deviation of the mean, approximately 95% falls within two standard deviations, and approximately 99.7% falls within three standard deviations.
6. On the worksheet, create a table with four columns: Data, Mean, Deviation, and Deviation Squared.
7. In the Data column, list all the values from your data set.
8. In the Mean column, write the mean you calculated earlier for the entire data set.
9. In the Deviation column, subtract the mean from each data point to calculate the deviation from the mean.
10. In the Deviation Squared column, square each deviation value.
11. Sum up all the squared deviations and divide by the total number of values to calculate the variance.
12. Finally, you can calculate the standard deviation by taking the square root of the variance.
13. Use the standard deviation to apply the empirical rule by calculating the ranges of values that fall within one, two, and three standard deviations from the mean.
14. Fill out the remaining columns in the worksheet to display the ranges of values within each standard deviation range.

Who needs empirical rule worksheet?

1. The empirical rule worksheet can be useful for anyone analyzing a dataset and wanting to understand the distribution of the data. It is commonly used in statistics and data analysis to determine the proportion of data that falls within different standard deviation ranges. Students, researchers, analysts, and statisticians are some examples of people who may need to use the empirical rule worksheet.

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What is empirical rule worksheet?

Empirical rule worksheet is a form used to analyze data distribution based on the empirical rule which states that 68% of data falls within one standard deviation, 95% within two standard deviations, and 99.7% within three standard deviations.

Who is required to file empirical rule worksheet?

Any individual or organization that collects and analyzes data for statistical purposes may be required to file an empirical rule worksheet.

How to fill out empirical rule worksheet?

To fill out an empirical rule worksheet, one must input the data set, calculate the mean and standard deviation, and then apply the empirical rule to interpret the distribution of the data.

What is the purpose of empirical rule worksheet?

The purpose of an empirical rule worksheet is to visually represent the distribution of data and analyze the data points based on the empirical rule percentages.

What information must be reported on empirical rule worksheet?

The information reported on an empirical rule worksheet includes the data set, mean, standard deviation, and the distribution of data based on the empirical rule percentages.