Explanation Given Information: The numbers are 234 , 228 , 234 , 229 , 234 , 278 . Formula used: The average of the given data/numbers is, A = S n Where, S is the sum of numbers, n is the total number of numbers and A is the average of the numbers. The median of the data/numbers is another type of static center point which is used to analyze the center of the extreme numbers. If the number of numbers in data is odd, then the median of the data is the middle number, when the given numbers are arranged in ascending order. If the number of the numbers in data is even, then the median of the data is the average of the two middle numbers, when the given numbers are arranged in ascending order. The median in case if the number of the numbers in data is even is, M = n 1 + n 2 2 Where, n 1 is the first middle number, n 2 is the second middle number and M is the median of the data. The mode is also a type of static center point of data. The mode is the number which occurs in the data most of the times. In case every number occur for the same number of times, then, no mode exists for the given data. Calculation: Consider the sum of the numbers is S and the total number of numbers is n . The total number of numbers n is 6 . The sum of the numbers is, S = 234 + 228 + 234 + 229 + 234 + 278 = 1437 Substitute S = 1437 , n = 6 in the formula A = S n

16th Edition

ISBN: 9781323235911

Author: BITTINGER

Publisher: Pearson Custom Publishing

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Chapter 5.1, Problem 9ES

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To calculate: The average, median and mode of the numbers 234,228,234,229,234,278.

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Chapter 5.1, Problem 8ES

Chapter 5.1, Problem 10ES

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The average, median and mode of the numbers 234 , 228 , 234 , 229 , 234 , 278 .

Solution Summary: The author calculates the average, median, and mode of numbers based on the given data.

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Chapter 5 Solutions