a. Explanation The given information is that when two balanced dices are rolled and total spots on the up-faces are counted. The distribution is symmetric at 7 and the mean is μ = 7 . Calculation: Step-by-step procedure to obtain the average by using The Law of Large Numbers applet: In Statistical Applets , choose The Law of Large Numbers . Click on More dice button once. Click on S how mean. Click on Roll dice button three times. Output using The Law of Large Numbers applet is given below: The Law of Large Numbers output 1: The Law of Large Numbers output 2: b. To determine To construct: The graph for 100 rolls. c. To determine To construct: The graph that shows the average count of spots when the dice is rolled 100 times.

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ISBN: 9781319341831

Author: Moore

Publisher: MAC HIGHER

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Question

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 + ...

Chapter 15.2, Problem 4AYK

To determine

The answers will vary based on the Applet output. One of the possible answers is given below:

To find: The number of spots that each roll produced.

To find: The average of the three rolls.

To determine

To construct: The graph for 100 rolls.

To determine

To construct: The graph that shows the average count of spots when the dice is rolled 100 times.

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Chapter 15 Solutions

BASIC PRACTICE OF STATISTICS(REISSUE)>C

Ch. 15.1 - Prob. 1AYK Ch. 15.1 - Prob. 2AYK Ch. 15.1 - Prob. 3AYK Ch. 15.2 - Prob. 4AYK Ch. 15.2 - Prob. 5AYK Ch. 15.3 - Prob. 6AYK Ch. 15.3 - Prob. 7AYK Ch. 15.4 - Prob. 8AYK Ch. 15.4 - Prob. 9AYK Ch. 15.4 - Prob. 10AYK

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