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7. Among freshmen at a certain university, scores on the Math SAT followed the normal curve, with an average of 550 and an SD of 100. Fill in the blanks; explain briefly. (a) A student who scored 400 on the Math SAT was at the th pe

7. Among freshmen at a certain university, scores on the Math SAT followed the normal curve, with an average of 550 and an SD of 100. Fill in the blanks; explain briefly. (a) A student who scored 400 on the Math SAT was at the th pe

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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### Educational Content on Statistical Concepts #### Problem Set **7. Normal Curve and Percentiles** - Among freshmen at a certain university, scores on the Math SAT followed a normal curve, with an average of 550 and a standard deviation (SD) of 100. Fill in the blanks: - (a) A student who scored 400 on the Math SAT was at the ____th percentile of the score distribution. - (b) To be at the 75th percentile of the distribution, a student needed a score of about ____ points on the Math SAT. **8. True or False, and Explain Briefly** - (a) If you add 7 to each entry on a list, that adds 7 to the average. - (b) If you add 7 to each entry on a list, that adds 7 to the SD. - (c) If you double each entry on a list, that doubles the average. - (d) If you double each entry on a list, that doubles the SD. - (e) If you change the sign of each entry on a list, that changes the sign of the average. - (f) If you change the sign of each entry on a list, that changes the sign of the SD. **9. True or False:** Which of the following are true/false? Explain or give examples. - (a) The median and the average of any list are always close together. This problem set aims to test and expand your understanding of fundamental statistical concepts such as percentiles, averages, standard deviations, and the effects of arithmetic operations on these measurements. Consider each statement and determine the truthfulness based on your understanding and knowledge of statistical properties.
Transcribed Image Text:### Educational Content on Statistical Concepts #### Problem Set **7. Normal Curve and Percentiles** - Among freshmen at a certain university, scores on the Math SAT followed a normal curve, with an average of 550 and a standard deviation (SD) of 100. Fill in the blanks: - (a) A student who scored 400 on the Math SAT was at the ____th percentile of the score distribution. - (b) To be at the 75th percentile of the distribution, a student needed a score of about ____ points on the Math SAT. **8. True or False, and Explain Briefly** - (a) If you add 7 to each entry on a list, that adds 7 to the average. - (b) If you add 7 to each entry on a list, that adds 7 to the SD. - (c) If you double each entry on a list, that doubles the average. - (d) If you double each entry on a list, that doubles the SD. - (e) If you change the sign of each entry on a list, that changes the sign of the average. - (f) If you change the sign of each entry on a list, that changes the sign of the SD. **9. True or False:** Which of the following are true/false? Explain or give examples. - (a) The median and the average of any list are always close together. This problem set aims to test and expand your understanding of fundamental statistical concepts such as percentiles, averages, standard deviations, and the effects of arithmetic operations on these measurements. Consider each statement and determine the truthfulness based on your understanding and knowledge of statistical properties.
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