According to the Empirical​ Rule, 95% of days in the month will be between what two​ temperatures?

The Empirical Rule, also known as the 68-95-99.7 Rule, states that for a normal distribution:

- 68% of the data falls within one standard deviation (\(\sigma\)) of the mean (\(\mu\)),
- 95% falls within two standard deviations,
- 99.7% falls within three standard deviations.

To find the range of temperatures that 95% of the days will fall between, you would use the following calculation:

\[ \text{Lower Bound} = \mu - 2\sigma \]
\[ \text{Upper Bound} = \mu + 2\sigma \]

So, 95% of the days in the month will have temperatures between \(\mu - 2\sigma\) and \(\mu + 2\sigma\).

If you provide the mean temperature (\(\mu\)) and the standard deviation (\(\sigma\)), I can calculate the exact range for you.

Would you like to provide these values, or do you have any other questions?

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1. What does the Empirical Rule tell us about a normal distribution?
2. How would the range change if we were looking at 68% of the days?
3. What assumptions are necessary for the Empirical Rule to apply?
4. How can we calculate the standard deviation from raw temperature data?
5. What are some real-life applications of the Empirical Rule?

**Tip:** Understanding the Empirical Rule is crucial for interpreting data that follows a normal distribution, which is common in natural and social sciences.

According to the Empirical​ Rule, 95% of days in the month will be between what two​ temperatures?

Discover how to calculate the temperature range that covers 95% of days in a month using the Empirical Rule. This guide explains the application of the Empirical Rule (68-95-99.7 Rule) and helps you understand the normal distribution. Ideal for high school students in Grades 9-12.

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