Quantitative Literacy Practice Exam 2026 – Comprehensive Preparation Guide

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What is the score that is 2.5 standard deviations below the mean, given a standard deviation of 26?

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To find the score that is 2.5 standard deviations below the mean, you start with the understanding that the mean serves as a central point in a normal distribution. The score that is 2.5 standard deviations below the mean can be calculated using the formula:

Score = Mean - (Number of Standard Deviations * Standard Deviation)

If we assume the mean is represented as 'M,' the equation becomes:

Score = M - (2.5 * 26)

Calculating this, we first determine the product of 2.5 and the standard deviation of 26:

2.5 * 26 = 65

Substituting back into the equation gives:

Score = M - 65

Since the specific value of the mean isn't provided within the question, we recognize that the score that is 2.5 standard deviations below whatever the mean is has the general form of M - 65. Without knowing the precise value of the mean (M), we can analyze the provided answer choices in context to reasonable estimates.

If we were to identify plausible mean values, we might find that if the mean were, for example, 95, the score would be 30, which doesn’t match any of the choices.

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