Explanation Given Information: A population { x , y } of two scores ( x ≤ y ) . Formula Used: The mean of the set of values x 1 , x 2 , ... , x n is the average of all values which means the sum of all values divided by the number of values. If there are N is the number of data in a population, then the variance of the population is given by, σ 2 = ∑ i = 1 n ( x i − μ ) 2 N The standard deviation is the square root of the variance and is given by, σ = σ 2 Calculation: Consider the data points { x , y } of a population. A number of data points in a population is 2 . Evaluate the value of mean that will lie at the middle of data points. μ = y − x 2 Evaluate the difference of mean from x by use of the formula ∑ i = 1 n ( x i − μ ) 2

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Chapter 8.4, Problem 79E

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To calculate: The algebraic formula for the population standard deviation of a population {x,y} of two scores (x≤y).

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Chapter 8.4, Problem 78E

Chapter 8.4, Problem 80E

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Chapter 8 Solutions

Finite Mathematics, Loose-leaf Version

Ch. 8.1 - In Exercises 110, classify the random variable X...Ch. 8.1 - Prob. 2E Ch. 8.1 - Prob. 3E Ch. 8.1 - In Exercises 110, classify the random variable X...Ch. 8.1 - In Exercises 110, classify the random variable X...Ch. 8.1 - Prob. 6E Ch. 8.1 - In Exercises 110, classify the random variable X...Ch. 8.1 - Prob. 8E Ch. 8.1 - Prob. 9E Ch. 8.1 - In Exercises 110, classify the random variable X...

Ch. 8.1 - In Exercises 1118, (a) say what an appropriate...Ch. 8.1 - In Exercises 1118, (a) say what an appropriate...Ch. 8.1 - Prob. 13E Ch. 8.1 - In Exercises 1118, (a) say what an appropriate...Ch. 8.1 - In Exercises 1118, (a) say what an appropriate...Ch. 8.1 - In Exercises 1118, (a) say what an appropriate...Ch. 8.1 - In Exercises 1118, (a) say what an appropriate...Ch. 8.1 - Prob. 18E Ch. 8.1 - Prob. 19E Ch. 8.1 - The random variable X has the probability...Ch. 8.1 - In Exercises 2128, give the probability...Ch. 8.1 - In Exercises 2128, give the probability...Ch. 8.1 - Prob. 23E Ch. 8.1 - In Exercises 2128, give the probability...Ch. 8.1 - In Exercises 2128, give the probability...Ch. 8.1 - In Exercises 2128, give the probability...Ch. 8.1 - Prob. 27E Ch. 8.1 - Prob. 28E Ch. 8.1 - 2010 Income Distribution up to $100,000 The...Ch. 8.1 - 2003 Income Distribution up to $100,000 Repeat...Ch. 8.1 - Population Age in Mexico The following chart shows...Ch. 8.1 - Population Age in the United States Repeat...Ch. 8.1 - 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Prob. 64E Ch. 8.2 - In Exercises 110, you are performing five...Ch. 8.2 - Prob. 2E Ch. 8.2 - Prob. 3E Ch. 8.2 - In Exercises 110, you are performing five...Ch. 8.2 - In Exercises 110, you are performing five...Ch. 8.2 - Prob. 6E Ch. 8.2 - In Exercises 110, you are performing five...Ch. 8.2 - In Exercises 110, you are performing five...Ch. 8.2 - Prob. 9E Ch. 8.2 - In Exercises 110, you are performing five...Ch. 8.2 - In Exercises 1118, X is a binomial variable with...Ch. 8.2 - In Exercises 1118, X is a binomial variable with...Ch. 8.2 - In Exercises 1118, X is a binomial variable with...Ch. 8.2 - Prob. 14E Ch. 8.2 - In Exercises 1118, X is a binomial variable with...Ch. 8.2 - In Exercises 1118, X is a binomial variable with...Ch. 8.2 - Prob. 17E Ch. 8.2 - Prob. 18E Ch. 8.2 - In Exercises 19 and 20, graph the histogram of the...Ch. 8.2 - In Exercises 19 and 20, graph the histogram of the...Ch. 8.2 - In Exercises 21 and 22, graph the histogram of the...Ch. 8.2 - Prob. 22E Ch. 8.2 - Internet Addiction The probability that a randomly...Ch. 8.2 - 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Prob. 7E Ch. 8.4 - In Exercises 18, compute the (sample) variance and...Ch. 8.4 - In Exercises 914, calculate the standard deviation...Ch. 8.4 - In Exercises 914, calculate the standard deviation...Ch. 8.4 - Prob. 11E Ch. 8.4 - In Exercises 914, calculate the standard deviation...Ch. 8.4 - Prob. 13E Ch. 8.4 - In Exercises 914, calculate the standard deviation...Ch. 8.4 - In Exercises 1524, calculate the expected value,...Ch. 8.4 - Prob. 16E Ch. 8.4 - Prob. 17E Ch. 8.4 - Prob. 18E Ch. 8.4 - Prob. 19E Ch. 8.4 - In Exercises 1524, calculate the expected value,...Ch. 8.4 - In Exercises 1524, calculate the expected value,...Ch. 8.4 - Prob. 22E Ch. 8.4 - Prob. 23E Ch. 8.4 - Prob. 24E Ch. 8.4 - Popularity Ratings In your bid to be elected class...Ch. 8.4 - Popularity Ratings Your candidacy for elected...Ch. 8.4 - Unemployment Following is a sample of unemployment...Ch. 8.4 - Unemployment Following is a sample of unemployment...Ch. 8.4 - Stock Market Gyrations Following is a sample of...Ch. 8.4 - Stock Market Gyrations Following is a sample of...Ch. 8.4 - Sport Utility Vehicles Following are highway...Ch. 8.4 - Sport Utility Vehicles Following are the city...Ch. 8.4 - Shopping Malls A survey of all the shopping malls...Ch. 8.4 - Prob. 34E Ch. 8.4 - 2010 Income Distribution up to $100,000 The...Ch. 8.4 - Prob. 36E Ch. 8.4 - Hispanic Employment: Male The following table...Ch. 8.4 - Hispanic Employment: Female Repeat Exercise 37,...Ch. 8.4 - Commerce You have been told that the average life...Ch. 8.4 - Commerce You have been told that the average life...Ch. 8.4 - Batmobiles The average life span of a Batmobile is...Ch. 8.4 - Spiderman Coupes The average life span of a...Ch. 8.4 - Teenage Pastimes According to a study,51 the...Ch. 8.4 - Prob. 44E Ch. 8.4 - Teenage Marketing In 2000, 22% of all teenagers in...Ch. 8.4 - Prob. 46E Ch. 8.4 - Prob. 47E Ch. 8.4 - Video Arcades Your company, Sonic Video, Inc., has...Ch. 8.4 - Prob. 49E Ch. 8.4 - Distribution of Wealth If we model after-tax...Ch. 8.4 - 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Prob. 11E Ch. 8.5 - In Exercises 914, X has a normal distribution with...Ch. 8.5 - Prob. 13E Ch. 8.5 - In Exercises 914, X has a normal distribution with...Ch. 8.5 - Find the probability that a normal variable takes...Ch. 8.5 - Find the probability that a normal variable takes...Ch. 8.5 - Prob. 17E Ch. 8.5 - Prob. 18E Ch. 8.5 - Prob. 19E Ch. 8.5 - Suppose X is a normal random variable with mean...Ch. 8.5 - Suppose X is a normal random variable with mean...Ch. 8.5 - Prob. 22E Ch. 8.5 - If you roll a die 100 times, what is the...Ch. 8.5 - If you roll a die 100 times, what is the...Ch. 8.5 - If you roll a die 200 times, what is the...Ch. 8.5 - Prob. 26E Ch. 8.5 - SAT Scores SAT test scores are normally...Ch. 8.5 - Prob. 28E Ch. 8.5 - LSAT Scores LSAT test scores are normally...Ch. 8.5 - LSAT Scores LSAT test scores are normally...Ch. 8.5 - Prob. 31E Ch. 8.5 - Prob. 32E Ch. 8.5 - Prob. 33E Ch. 8.5 - Prob. 34E Ch. 8.5 - SAT Scores SAT test scores are normally...Ch. 8.5 - LSAT Scores LSAT test scores are normally...Ch. 8.5 - 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Prob. 47RE Ch. 8 - Prob. 48RE Ch. 8 - Prob. 49RE Ch. 8 - Prob. 50RE Ch. 8 - Prob. 51RE Ch. 8 - Prob. 52RE Ch. 8 - Prob. 53RE Ch. 8 - Prob. 54RE Ch. 8 - Prob. 55RE Ch. 8 - Prob. 56RE Ch. 8 - Prob. 1CS Ch. 8 - Prob. 2CS Ch. 8 - Prob. 3CS Ch. 8 - Prob. 4CS Ch. 8 - Which of the following lists of data would you...Ch. 8 - Prob. 6CS Ch. 8 - Prob. 7CS Ch. 8 - Prob. 8CS

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Chapter 8 Solutions