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Read the following problems carefully. Use empirical rule to answer each question. 1. IQ scores of the ALS students in the Division of Bohol are normally distributed with a mean of 110 and a standard deviation of 10. What percent of the distribution falls within the IQ scores of 100 to 130? 2. A normal distribution of data with the mean of 78 and standard deviation of 9. What percentage of the data would measure 87?

Read the following problems carefully. Use empirical rule to answer each question. 1. IQ scores of the ALS students in the Division of Bohol are normally distributed with a mean of 110 and a standard deviation of 10. What percent of the distribution falls within the IQ scores of 100 to 130? 2. A normal distribution of data with the mean of 78 and standard deviation of 9. What percentage of the data would measure 87?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 23PFA
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Kindly answer items 1 and 2. Kindly refer to the Empirical rule provided. Thank you.

Read the following problems carefully. Use empirical rule to answer each question. 1. IQ scores of the ALS students in the Division of Bohol are normally distributed with a mean of 110 and a standard deviation of 10. What percent of the distribution falls within the IQ scores of 100 to 130? 2. A normal distribution of data with the mean of 78 and standard deviation of 9. What percentage of the data would measure 87?
Transcribed Image Text:Read the following problems carefully. Use empirical rule to answer each question. 1. IQ scores of the ALS students in the Division of Bohol are normally distributed with a mean of 110 and a standard deviation of 10. What percent of the distribution falls within the IQ scores of 100 to 130? 2. A normal distribution of data with the mean of 78 and standard deviation of 9. What percentage of the data would measure 87?
EMPIRICAL RULE 99.7% 95% 68% I 2.35% 1 13.5% I 34% 34% 13.5% 2.35% I -1 1. The above diagram shows the representation of 68% - 95% - 99.7% rule. The 68% -95% - 99.7% rule is better known as empirical rule. This rule states that the data in the distribution lies within the 1, 2, and 3 of the standard deviation of the mean. Specifically, the above diagram tells the estimation of the following percentage: 68% of data lies within the 1 standard deviation of the mean. 95% of data lies within the 2 standard deviation of the mean. 99.7% of data lies within the 3 standard deviation of the mean.
Transcribed Image Text:EMPIRICAL RULE 99.7% 95% 68% I 2.35% 1 13.5% I 34% 34% 13.5% 2.35% I -1 1. The above diagram shows the representation of 68% - 95% - 99.7% rule. The 68% -95% - 99.7% rule is better known as empirical rule. This rule states that the data in the distribution lies within the 1, 2, and 3 of the standard deviation of the mean. Specifically, the above diagram tells the estimation of the following percentage: 68% of data lies within the 1 standard deviation of the mean. 95% of data lies within the 2 standard deviation of the mean. 99.7% of data lies within the 3 standard deviation of the mean.
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