Answered: nstruct a bimodal sample (with at least…

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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onstruct a bimodal sample (with at least two different values in the set) of 5 measurements whose median is −3. If this is not possible, indicate "Cannot create sample".

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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We need to put data in ascending order such that -3 sits in the middle of the data at third position.

We also need data to have at least two values with more than one occurrences, so we can put one value twice on the left of -3 and one other value twice on the right of -3.

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nstruct a bimodal sample (with at least two different values in the set) of 5 measurements whose median is −3. If this is not possible, indicate "Cannot create sample