Question at position 42 A standard score describesHow far a particular score is from the medianHow far apart the mean and median of a distribution areHow much skew there is in a distributionHow much spread there is in a distributionHow far a particular score is from the mean

Question

BlackTom AI · Accepted Answer

To tackle this question, I'll evaluate what a standard score measures and then assess each option in turn.
Option 1: 'How far a particular score is from the median.' This describes a distance from the median, which is not what a standard score conveys. The median is not the reference point for a standard score; standard scores reference the mean, not the median. Therefore this is incorrect.
Option 2: 'How far apart the mean and median of a distribution are.' This metric relates to skew or asymmetry, not to standardizing individual observations. A standard score does not describe the gap between mean and median, so this is also incorrect.
Option 3: 'How much skew there is in a distribution.' Skew measures asymmetry of the distribution as a whole, not the position of a single score relative to the mean in standardized units. Hence this choice does not describe a standard score.
Option 4: 'How much spread there is in a distribution.' This addresses dispersion or variability of the entire data set (like standard deviation or interquartile range), not the placement of one score in relation to the mean. Therefore this option is not correct for defining a standard score.
Option 5: 'How far a particular score is from the mean.' This choice captures the directional distance of an individual score from the mean, which aligns with the concept of standard scores (z-scores) that express a value in terms of deviations from the mean. Although a standard score also involves expressing that distance in units of standard deviation, describing it as distance from the mean is the closest and most accurate among the given options.
Overall, each of the first four options describes aspects of distribution characteristics (center, skew, spread) rather than the standardization of a single score relative to the mean, while the fifth option directly references the basic idea of a standard score as a measure tied to an individual observation's distance from the mean.

Question at position 42 A standard score describesHow far a particular score is from the medianHow far apart the mean and median of a distribution areHow much skew there is in a distributionHow much spread there is in a distributionHow far a particular score is from the mean单项选择题

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