Question at position 1 What determines how far a particular value is from the mean relative to the data set’s standard deviation?Coefficient of variationz-scorePercentilVarianceClear my selection

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Question at position 1 What determines how far a particular value is from the mean relative to the data set’s standard deviation?Coefficient of variationz-scorePercentilVarianceClear my selection

BlackTom AI · Accepted Answer

Consider what the question is asking: the metric that tells us how far a given value is from the mean in units of the data’s standard deviation.
Option 1: Coefficient of variation. This measures the ratio of the standard deviation to the mean (relative variability across different datasets), not the distance of a single value from the mean in standard deviation units.
Option 2: z-score. This is precisely the number of standard deviations a data point lies from the mean, calculated as (value − mean) divided by the standard deviation. It directly answers how far a value is from the mean in terms of standard deviation units.
Option 3: Percentil. A percentile indicates the position of a value within the distribution relative to other observations, not the standardized distance from the mean in terms of standard deviations.
Option 4: Variance. Variance measures the average squared deviation from the mean, i.e., the spread of the data, but it is not expressed in units of standard deviation and does not provide the standardized distance for an individual value.
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Question at position 1 What determines how far a particular value is from the mean relative to the data set’s standard deviation?Coefficient of variationz-scorePercentilVarianceClear my selection

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