Question at position 9 ________ is a measure of dispersion that indicates how much the scores in a sample vary around the mean of the sample.RangeMedianCorrelation coefficientStandard deviationSingle choice
A
Range
B
Median
C
Correlation coefficient
D
Standard deviation

Question

Question at position 9 ________ is a measure of dispersion that indicates how much the scores in a sample vary around the mean of the sample.RangeMedianCorrelation coefficientStandard deviation

BlackTom AI · Accepted Answer

The question asks: 'Question at position 9 ________ is a measure of dispersion that indicates how much the scores in a sample vary around the mean of the sample.'
Option 1: Range. The range is the difference between the maximum and minimum values in a dataset, which gives a simple spread but does not reflect how all data points cluster around the mean. It ignores the distribution of values in between, so it’s not a precise measure of dispersion around the mean.
Option 2: Median. The median is a measure of central tendency, not dispersion. It tells us the middle value of the data when ordered, but provides no information about how spread out the data are around that central point.
Option 3: Correlation coefficient. The correlation coefficient measures the strength and direction of a linear relationship between two variables, not the dispersion of data around the mean of a single sample. It does not quantify how scores vary with respect to the mean of the sample.
Option 4: Standard deviation. The standard deviation specifically quantifies dispersion by indicating how much the scores deviate on average from the mean of the sample. A smaller standard deviation means data are tightly clustered around the mean, while a larger one indicates more spread. This aligns exactly with the definition given in the question.
In summary, among the options, only the standard deviation serves as a measure of dispersion about the mean, whereas the others relate to range, central tendency, or relationships rather than dispersion around the mean alone.

Question at position 9 ________ is a measure of dispersion that indicates how much the scores in a sample vary around the mean of the sample.RangeMedianCorrelation coefficientStandard deviationSingle choice

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