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?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Topic Video
Question
Kindly answer items 1 and 2. Kindly refer to the
![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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F13748e6a-9f07-4ceb-9349-0d6dcc97697c%2F2d791611-8fc9-4c06-9731-134e588cc2d6%2Fnxueald_processed.jpeg&w=3840&q=75)
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F13748e6a-9f07-4ceb-9349-0d6dcc97697c%2F2d791611-8fc9-4c06-9731-134e588cc2d6%2Fb7ixss_processed.jpeg&w=3840&q=75)
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.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![Elementary Statistics: Picturing the World (7th E…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman