A manager has been asked to evaluate the risk of loss for a new business strategy. The manager plots the results of several simulated projections to determine the likelihood of a result being a loss. Which statistic will transform different data sets to the same scale so that the manager can compare the projections?
Z-score will transform different data sets to the same scale.
The Z-score standardizes the values from different data sets by indicating how many standard deviations an element is from the mean. This allows the manager to compare projections directly, facilitating an understanding of the relative risk of loss across various scenarios.
The median represents the middle value in a data set when arranged in ascending or descending order. While it provides a measure of central tendency, it does not standardize data across different sets or scales, making it unsuitable for comparing projections that may have different distributions or ranges.
The mode is the value that appears most frequently in a data set. Although it offers insight into the most common outcome, it does not address the variability or spread of the data, nor does it standardize different data sets for comparison, limiting its effectiveness in evaluating risk across multiple projections.
Variance measures the dispersion of data points around the mean in a single data set. While it is useful for understanding how spread out the values are, it does not facilitate direct comparison across different data sets, as it does not transform the data to a common scale like the Z-score does.
The Z-score transforms individual data points into a standardized scale based on the mean and standard deviation of the data set. This allows for direct comparison across different projections by providing a clear understanding of how each result relates to the overall distribution, making it the most appropriate choice for the manager’s evaluation of risk.
To effectively compare the risk of loss across different simulated projections, the Z-score serves as the ideal statistical tool. It standardizes various data sets to a common scale, enabling meaningful comparisons of how each projection performs relative to the mean. Other statistics like median, mode, and variance do not provide this necessary standardization, which is crucial for evaluating risks in diverse scenarios.
Related Questions
View allA hospital wants to increase revenue by performing more surgeries each...
A hospital is restructuring its business and administrative functions....
What are random errors caused by?
Research data indicate 95% confidence in a study in which subjects who...
A company runs a regression analysis to identify the impact of volume...
Related Quizzes
View all0PC1 Planning Instructional Strategies for Meaningful Learning Version 1
AP01 Elementary Literacy Curriculum Version 1
AQ01 Applied Healthcare Statistics C784 Version 1
ASO1 Introduction to Statistics for Research Version 1
BJ01 Introduction to Business Finance Version 1
C172 Network and Security Foundations Version 1
C180 Introduction to Psychology Version 1
C180 Introduction to Psychology Version 2
CKC1 Introduction to Humanities Version 1
DZ01 Mathematics for Elementary Educators III MATH 1330 Version 1
- ✓ 500+ Practice Questions
- ✓ Detailed Explanations
- ✓ Progress Analytics
- ✓ Exam Simulations