The mean IQ score of adults is 110, with a standard deviation of 10. Use the Empirical Rule to find the percentage of adults QUO with scores between 80 and 140. (Assume the data set has a bell-shaped distribution.) 68% 99.7% O 100% ● 95% X

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**Question:**

The mean IQ score of adults is 110, with a standard deviation of 10. Use the Empirical Rule to find the percentage of adults with scores between 80 and 140. (Assume the data set has a bell-shaped distribution.)

**Options:**

- 68%
- 99.7%
- 100%
- 95% 

**Answer:**

- 95% (Selected)

**Explanation:**

The Empirical Rule, also known as the 68-95-99.7 rule, is used in statistics to describe the distribution of data within a normal distribution:

- Approximately 68% of data falls within one standard deviation from the mean.
- Approximately 95% of data falls within two standard deviations from the mean.
- Approximately 99.7% of data falls within three standard deviations from the mean.

In this case, the mean IQ score is 110, and the standard deviation is 10. Scores between 80 and 140 represent three standard deviations from the mean, as 80 is 3 standard deviations below the mean (110 - 3*10 = 80) and 140 is 3 standard deviations above the mean (110 + 3*10 = 140). 

Therefore, the percentage of adults with scores between 80 and 140 is approximately 99.7%. However, it seems there might be an incorrect selection in the provided options.
Transcribed Image Text:**Question:** The mean IQ score of adults is 110, with a standard deviation of 10. Use the Empirical Rule to find the percentage of adults with scores between 80 and 140. (Assume the data set has a bell-shaped distribution.) **Options:** - 68% - 99.7% - 100% - 95% **Answer:** - 95% (Selected) **Explanation:** The Empirical Rule, also known as the 68-95-99.7 rule, is used in statistics to describe the distribution of data within a normal distribution: - Approximately 68% of data falls within one standard deviation from the mean. - Approximately 95% of data falls within two standard deviations from the mean. - Approximately 99.7% of data falls within three standard deviations from the mean. In this case, the mean IQ score is 110, and the standard deviation is 10. Scores between 80 and 140 represent three standard deviations from the mean, as 80 is 3 standard deviations below the mean (110 - 3*10 = 80) and 140 is 3 standard deviations above the mean (110 + 3*10 = 140). Therefore, the percentage of adults with scores between 80 and 140 is approximately 99.7%. However, it seems there might be an incorrect selection in the provided options.
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