A Sample of 12 Measurements Has a Mean of 25

question 9

Essay

A sample of 12 measurements has a mean of 25 and a standard deviation of 4. Suppose that the sample is enlarged to 14 measurements, by including two additional measurements having a common value of 25.
a. Find the mean of the sample of 14 measurements.
b. Find the standard deviation of the sample of 14 measurements.

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Definitions:

Migration

The movement of people or animals from one region or habitat to another, often seasonally or periodically.

Hierarchical System

A hierarchical system is an organized structure in which elements are ranked or classified based on levels of importance or authority, often depicted in a pyramid shape where each layer controls the one below.

Chain of Command

The chain of command is a hierarchical structure within an organization that outlines the authority and responsibility relationships amongst its members, ensuring clear lines of communication and decision-making.

Distributed System

A system in which computer processing is done across multiple separate machines, connected by a network, allowing for more efficient processing and data handling.