The average score is 76% and one student receives a score of 55%. Sketch the situation. Do test scores really follow a normal distribution? Calculator function for probability: normalcdf (lower \(x\) value of the area, upper \(x\) value of the area, mean, standard deviation). Cross Validated is a question and answer site for people interested in statistics, machine learning, data analysis, data mining, and data visualization. Stats Test 2 Flashcards Flashcards | Quizlet Find \(k1\), the 40th percentile, and \(k2\), the 60th percentile (\(0.40 + 0.20 = 0.60\)). Using the Normal Distribution | Introduction to Statistics So the percentage above 85 is 50% - 47.5% = 2.5%. The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. In one part of my textbook, it says that a normal distribution could be good for modeling exam scores. a. The \(z\)-scores are 2 and 2. The middle 20% of mandarin oranges from this farm have diameters between ______ and ______. About 95% of the \(x\) values lie between 2\(\sigma\) and +2\(\sigma\) of the mean \(\mu\) (within two standard deviations of the mean). 6.2: The Standard Normal Distribution - Statistics LibreTexts Suppose that your class took a test and the mean score was 75% and the standard deviation was 5%. Find the score that is 2 1/2 standard deviations above the mean. A data point can be considered unusual if its z-score is above 3 3 or below -3 3 .
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the scores on an exam are normally distributed