The mean mathematics SAT score for all people who took the SAT in a particular year was 514 with a standard deviation of 117. Assume the mathematics SAT score is normally distributed. The mean mathematics SAT score for all people who took the SAT in a particular year was 514 with astandard deviation of 117. Assume the mathematics SAT score is normally distributed.a) Identify the individual, variable, type of variable in the context of this problem.The individual is a randomly selected Select an answerThe variable information collected from each individual isSelect an answerThis variable is a Select an answerb) What is the wording of the random variable X in the context of this problem?The random variable X =Select an answerc) Why can the Empirical Rule be used to approximate probabilities on this problem?Select an answerd) Use the Empirical Rule to approximate the percentage of people who take the SAT that will have amathematics SAT score between 397 and 748 .. There is about✓ variable.between 397 and 748 .. There is aboutleast 397.% of people who take the SAT that will have a mathematics SAT scoree) Use the Empirical Rule to approximate the percentage of people who take the SAT that will have amathematics SAT score of at least 397 ?% of people who take the SAT that will have a mathematics SAT score of a

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College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 6E: List the sample space of each experiment. Tossing three coins

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The mean mathematics SAT score for all people who took the SAT in a particular year was 514 with a standard deviation of 117. Assume the mathematics SAT score is normally distributed.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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