A data set having nineobservations for which median would change by a huge amount when the smallest observation was deleted.

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Answer 1

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Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

Chapter 1.3, Problem 78E

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To find: A data set having nineobservations for which median would change by a huge amount when the smallest observation was deleted.

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Answer 2

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Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

Chapter 1.3, Problem 78E

To determine

To find: A data set having nineobservations for which median would change by a huge amount when the smallest observation was deleted.

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Answer 3

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Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

Chapter 1.3, Problem 78E

To determine

To find: A data set having nineobservations for which median would change by a huge amount when the smallest observation was deleted.

Expert Solution & Answer

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Check out a sample textbook solution

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Answer 4

Question

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

Chapter 1.3, Problem 78E

To determine

To find: A data set having nineobservations for which median would change by a huge amount when the smallest observation was deleted.

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Answer 5

Chapter 1.3, Problem 78E

To determine

To find: A data set having nineobservations for which median would change by a huge amount when the smallest observation was deleted.

Answer 6

Chapter 1.3, Problem 78E

To determine

To find: A data set having nineobservations for which median would change by a huge amount when the smallest observation was deleted.

Answer 7

Chapter 1.3, Problem 78E

To determine

To find: A data set having nineobservations for which median would change by a huge amount when the smallest observation was deleted.

Answer 8

Expert Solution & Answer

Answer 9

Expert Solution & Answer

Answer 10

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Answer 11

Ch. 1.1 - Prob. 1UYK Ch. 1.1 - Prob. 2UYK Ch. 1.1 - Prob. 3UYK Ch. 1.1 - Prob. 5UYK Ch. 1.1 - Prob. 4UYK Ch. 1.1 - Prob. 6UYK Ch. 1.1 - Prob. 7UYK Ch. 1.1 - Prob. 8E Ch. 1.1 - Prob. 9E Ch. 1.1 - Prob. 10E

A data set having nineobservations for which median would change by a huge amount when the smallest observation was deleted.

Solution Summary: The author explains that median changes by a huge amount when the smallest observation is deleted. Median before removal was 2 and after removal, new median was 100.5

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