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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What percentage of scores are between scores 60 and 70?
scored between 60 and 70? 13.5+ 34=47.5%.
What percent of the SAT scores fall between 500 and 600?
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.
What percent of students SAT scores fall between 400 and 600?
Answer and Explanation: About 68% of the students scored between 400 and 600.
What percentage of SAT scores are above 400?
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.
What percentage of scores are between 65 and 75?
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%.
How many students scored within 1 standard deviation of the mean?
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.
What proportion has SAT scores less than 400?
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.
What percentage of students would be expected to score between 400 and 590?
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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