Quantitative Literacy Practice Exam 2026 – Comprehensive Preparation Guide

Question: 1 / 400

How would you describe the relationship between mean and standard deviation in this case?

The mean indicates a fixed value, while the standard deviation shows distribution.

In this context, the correct choice highlights the distinct roles that the mean and standard deviation play in statistical data analysis. The mean serves as a measure of central tendency, providing a fixed value that represents the average of a data set. It tells us where the center of the data lies, allowing for a straightforward summary of the data’s overall level.

On the other hand, the standard deviation is a measure of dispersion or variability within the data. It quantifies how much the individual data points deviate from the mean, indicating the spread of the values. A larger standard deviation suggests that the data points are more spread out around the mean, while a smaller standard deviation indicates that they are clustered more closely.

Thus, the mean and standard deviation complement each other in describing a data set. The mean gives us a central value, while the standard deviation provides insight into the distribution and variability of the data around that central value, forming a more comprehensive picture of the data's characteristics.

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Both mean and standard deviation are identical.

The mean has no relation to standard deviation.

The mean is less important than standard deviation.

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