Explanation Given: Grouped data is, Interval Frequency 40 − 44 3 45 − 49 6 50 − 54 7 55 − 59 14 60 − 64 3 65 − 69 2 Formula used: The average of the squared difference from the mean is known as variance. That is given by, Variance, s 2 = ∑ f x 2 − n x ¯ 2 n − 1 where x ¯ is the mean. The square root of variance is known as standard deviation. Standard deviation= variance . The formula of the mean for the grouped frequency distribution is given by x ¯ = ∑ x f ∑ f . Calculation: In order to find the standard deviation and variance, calculate the value of x 2 , f x 2 as shown below in Table 1

Finite Mathematics and Calculus with Applications

1st Edition

ISBN: 9781323188361

Author: Margaret Lial

Publisher: Pearson Education

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Chapter 9, Problem 30RE

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To find: The standard deviation for the given data.

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Chapter 9, Problem 29RE

Chapter 9, Problem 31RE

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Chapter 9 Solutions

Finite Mathematics and Calculus with Applications

Ch. 9.1 - Find the mean of the following data: 12, 17, 21,...Ch. 9.1 - Prob. 2YT Ch. 9.1 - Prob. 3YT Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - Prob. 7E

Ch. 9.1 - Prob. 8E Ch. 9.1 - Find the mean for each list of numbers. 9. 30,200;...Ch. 9.1 - Prob. 10E Ch. 9.1 - Find the mean for each list of numbers. 11. 9.4,...Ch. 9.1 - Prob. 12E Ch. 9.1 - Prob. 13E Ch. 9.1 - Prob. 14E Ch. 9.1 - Find the mean for the data in Exercise 1 from the...Ch. 9.1 - Prob. 16E Ch. 9.1 - Prob. 17E Ch. 9.1 - Prob. 18E Ch. 9.1 - Prob. 19E Ch. 9.1 - Prob. 20E Ch. 9.1 - Prob. 21E Ch. 9.1 - Prob. 22E Ch. 9.1 - Prob. 23E Ch. 9.1 - Prob. 24E Ch. 9.1 - Prob. 25E Ch. 9.1 - Prob. 26E Ch. 9.1 - Prob. 27E Ch. 9.1 - Prob. 28E Ch. 9.1 - Prob. 29E Ch. 9.1 - Prob. 30E Ch. 9.1 - Prob. 31E Ch. 9.1 - Prob. 32E Ch. 9.1 - For grouped data, the modal class is the interval...Ch. 9.1 - Prob. 34E Ch. 9.1 - Prob. 36E Ch. 9.1 - Prob. 37E Ch. 9.1 - Prob. 38E Ch. 9.1 - Prob. 39E Ch. 9.1 - Prob. 40E Ch. 9.1 - Prob. 41E Ch. 9.1 - Prob. 42E Ch. 9.1 - New Housing Sales The number (in thousands) of new...Ch. 9.1 - Prob. 44E Ch. 9.1 - Prob. 45E Ch. 9.1 - Temperature The following table gives the number...Ch. 9.1 - Prob. 47E Ch. 9.1 - Olympics The number of nations participating in...Ch. 9.1 - Prob. 49E Ch. 9.1 - Prob. 50E Ch. 9.1 - Prob. 51E Ch. 9.1 - SAT I: Reasoning Test Given the following sequence...Ch. 9.2 - Prob. 1YT Ch. 9.2 - Prob. 2YT Ch. 9.2 - Prob. 1WE Ch. 9.2 - Prob. 2WE Ch. 9.2 - Prob. 1E Ch. 9.2 - Prob. 2E Ch. 9.2 - Find the range and standard deviation for each set...Ch. 9.2 - Find the range and standard deviation for each set...Ch. 9.2 - Find the range and standard deviation for each set...Ch. 9.2 - Find the range and standard deviation for each set...Ch. 9.2 - Find the range and standard deviation for each set...Ch. 9.2 - Find the range and standard deviation for each set...Ch. 9.2 - Prob. 9E Ch. 9.2 - Prob. 10E Ch. 9.2 - Prob. 11E Ch. 9.2 - Prob. 12E Ch. 9.2 - Chebyshevs theorem states that for any set of...Ch. 9.2 - Prob. 14E Ch. 9.2 - Prob. 15E Ch. 9.2 - Chebyshevs theorem states that for any set of...Ch. 9.2 - Prob. 17E Ch. 9.2 - Prob. 18E Ch. 9.2 - Prob. 19E Ch. 9.2 - Prob. 20E Ch. 9.2 - Prob. 21E Ch. 9.2 - Prob. 22E Ch. 9.2 - Prob. 23E Ch. 9.2 - Prob. 24E Ch. 9.2 - Prob. 25E Ch. 9.2 - Prob. 26E Ch. 9.2 - Prob. 27E Ch. 9.2 - Prob. 28E Ch. 9.2 - Prob. 29E Ch. 9.2 - Prob. 30E Ch. 9.2 - Prob. 31E Ch. 9.2 - Prob. 32E Ch. 9.2 - Prob. 33E Ch. 9.2 - Prob. 34E Ch. 9.2 - Prob. 35E Ch. 9.2 - Prob. 36E Ch. 9.2 - Prob. 37E Ch. 9.2 - Prob. 38E Ch. 9.2 - Prob. 39E Ch. 9.2 - Box Office ReceiptsThe table below lists the 20...Ch. 9.2 - CookiesMarie Revak and Jihan Williams performed an...Ch. 9.3 - Find the following areas under the standard normal...Ch. 9.3 - Prob. 2YT Ch. 9.3 - Prob. 3YT Ch. 9.3 - Prob. 4YT Ch. 9.3 - The peak in a normal curve occurs directly above...Ch. 9.3 - The total area under a normal curve (above the...Ch. 9.3 - Prob. 3E Ch. 9.3 - Prob. 4E Ch. 9.3 - Prob. 5E Ch. 9.3 - Prob. 6E Ch. 9.3 - Prob. 7E Ch. 9.3 - Prob. 8E Ch. 9.3 - Prob. 9E Ch. 9.3 - Prob. 10E Ch. 9.3 - Prob. 11E Ch. 9.3 - Prob. 12E Ch. 9.3 - Find the percent of the total area under the...Ch. 9.3 - Prob. 14E Ch. 9.3 - Prob. 15E Ch. 9.3 - Prob. 16E Ch. 9.3 - Find a z-score satisfying the following...Ch. 9.3 - Prob. 18E Ch. 9.3 - Prob. 19E Ch. 9.3 - Prob. 20E Ch. 9.3 - Prob. 21E Ch. 9.3 - Prob. 22E Ch. 9.3 - Prob. 23E Ch. 9.3 - Prob. 24E Ch. 9.3 - Prob. 25E Ch. 9.3 - Prob. 26E Ch. 9.3 - Prob. 27E Ch. 9.3 - Prob. 28E Ch. 9.3 - Quality ControlA box of oatmeal must contain 16...Ch. 9.3 - Quality ControlA box of oatmeal must contain 16...Ch. 9.3 - Prob. 31E Ch. 9.3 - Prob. 32E Ch. 9.3 - Prob. 33E Ch. 9.3 - Prob. 34E Ch. 9.3 - Quality ControlThe chickens at Colonel Thompsons...Ch. 9.3 - Prob. 36E Ch. 9.3 - Prob. 37E Ch. 9.3 - Prob. 38E Ch. 9.3 - Annual BonusesSalespeople of a large corporation...Ch. 9.3 - Prob. 40E Ch. 9.3 - Prob. 41E Ch. 9.3 - Prob. 42E Ch. 9.3 - Prob. 43E Ch. 9.3 - Prob. 44E Ch. 9.3 - Life SpansAccording to actuarial tables, life...Ch. 9.3 - Prob. 46E Ch. 9.3 - Prob. 47E Ch. 9.3 - Prob. 48E Ch. 9.3 - EducationThe grading system known as grading on...Ch. 9.3 - Prob. 50E Ch. 9.3 - Prob. 51E Ch. 9.3 - Prob. 53E Ch. 9.3 - Prob. 54E Ch. 9.3 - Prob. 55E Ch. 9.3 - Prob. 56E Ch. 9.3 - Prob. 57E Ch. 9.3 - Prob. 58E Ch. 9.3 - Prob. 59E Ch. 9.3 - Prob. 60E Ch. 9.3 - Prob. 61E Ch. 9.3 - KenThe same researchers from Exercise 61 wondered...Ch. 9.4 - Suppose a die is rolled 12 times. 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The standard deviation for the given data.

Solution Summary: The author explains the standard deviation for the given data. The average of the squared difference from the mean is known as variance.

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To find: The standard deviation for the given data.

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Chapter 9 Solutions