Consider a data set consisting of 43 different numbers.If the smallest data value is decreased by one unit, then the sample mean will decrease and the sample median will decrease.If the smallest data value is decreased by one unit, then the sample mean will decrease and the sample median will stay the same.If the smallest data value is decreased by one unit, then the sample mean will stay the same and the sample median will decrease.If the smallest data value is decreased by one unit, then the sample mean will stay the same and the sample median will stay the same.

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Answered: Consider a data set consisting of 43…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Consider a data set consisting of 43 different numbers.

If the smallest data value is decreased by one unit, then the sample mean will decrease and the sample median will decrease.
If the smallest data value is decreased by one unit, then the sample mean will decrease and the sample median will stay the same.
If the smallest data value is decreased by one unit, then the sample mean will stay the same and the sample median will decrease.
If the smallest data value is decreased by one unit, then the sample mean will stay the same and the sample median will stay the same.

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.

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