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M414 Chapter 3 Worksheet 3 Empirical Rule and Normal Distribution Name Date Period In a normal distribution, what percent of the values lie: 1. below the mean? 2. above the mean? 3. within one standard.

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scored between 60 and 70? 13.5+ 34=47.5%.

Answer: The mean SAT score is 500. 68% of students score between 500–100=400 and 500+100=600. The remaining 32% score outside of this range. So (16+34+34)% = 84% score 600 or lower.

Answer and Explanation: About 68% of the students scored between 400 and 600.

So 68% + 16% = 84% of SAT scores are above 400. (b) What percentage of SAT scores are above 500? Since 500 is the median, 50% of SAT scores are above it.

So because of symmetry 50% of the test scores fall in the area above the mean and 50% of the test scores fall in the area below the mean. We know from part b that the percentage from 65 to 75 is 47.5%.

Empirical Rule or 68-95-99.7% Rule Approximately 68% of the data fall within one standard deviation of the mean. Approximately 95% of the data fall within two standard deviations of the mean. Approximately 99.7% of the data fall within three standard deviations of the mean.

The proportion of students with SAT scores less than 400 is approximately 0.1587. b. The proportion of students with SAT scores greater than 650 is approximately 0.0918.

Expert-Verified Answer. Using the normal distribution, it is found that 58.97% of students would be expected to score between 400 and 590.

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© Copyright 1997-2025
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Form Packages
Adoption
Bankruptcy
Contractors
Divorce
Home Sales
Employment
Identity Theft
Incorporation
Landlord Tenant
Living Trust
Name Change
Personal Planning
Small Business
Wills & Estates
Packages A-Z
Form Categories
Affidavits
Bankruptcy
Bill of Sale
Corporate - LLC
Divorce
Employment
Identity Theft
Internet Technology
Landlord Tenant
Living Wills
Name Change
Power of Attorney
Real Estate
Small Estates
Wills
All Forms
Forms A-Z
Form Library
Customer Service
Terms of Service
Content Takedown Policy
About Us
Blog
Affiliates
Contact Us
Privacy Notice
Delete My Account
Site Map
Industries
Forms in Spanish
Localized Forms
State-specific Forms
Forms Kit
Legal Guides
Real Estate Handbook
All Guides
Prepared for You
Notarize
Incorporation services
Our Customers
For Consumers
For Small Business
For Attorneys
Our Sites
US Legal Forms
USLegal
FormsPass
pdfFiller
signNow
airSlate workflows
DocHub
Instapage
Social Media
Call us now toll free:
1-877-389-0141
As seen in:
  • USA Today logo picture
  • CBC News logo picture
  • LA Times logo picture
  • The Washington Post logo picture
  • AP logo picture
  • Forbes logo picture
© Copyright 1997-2025
airSlate Legal Forms, Inc.
3720 Flowood Dr, Flowood, Mississippi 39232