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The smaller the spread of scores around the mean:

a) the smaller the variance of the data set.
b) the smaller the standard deviation of the data set.
c) the smaller the coefficient of variation of the data set.
d) All of these choices are true.

User Summerfun
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1 Answer

7 votes

Final answer:

The smaller the spread of scores around the mean, all of the given choices are true.

Step-by-step explanation:

The correct answer is d) All of these choices are true.

When the spread of scores around the mean is smaller, it means that the data values are more concentrated close to the mean and exhibit less variation. This implies that the variance of the data set is smaller, as variance measures the average squared deviation from the mean. Additionally, the standard deviation, which is the square root of the variance, is also smaller when the data set has a smaller spread. Finally, the coefficient of variation, which is the standard deviation divided by the mean, will also be smaller when the spread of scores around the mean is smalle

User Mykaelos
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