Ohio Assessments for Educators (OAE) Mathematics Practice Exam

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What does a higher standard deviation signify?

Less variation in the data
More inconsistency within the data
Less reliable data points
A normal distribution of data

The correct answer is: More inconsistency within the data

A higher standard deviation signifies more inconsistency within the data because it indicates that the data points are spread out over a wider range of values. Standard deviation measures the average distance of each data point from the mean, and when this value is high, it shows that individual data points tend to be farther from the average. This dispersion means that there is greater variability in the dataset, which can lead to less predictability and more fluctuation in the observed values. Essentially, a higher standard deviation reflects a larger degree of spread in the data, thus highlighting the presence of greater inconsistency among the values.