•Variability is most commonly measured with the following descriptive statistics: Range: the difference between the highest and lowest values. Interquartile range: the range of the middle half of a distribution. Standard deviation: average distance from the mean.
Which measure of variability could remain unchanged if one score in the sample decreased by 10 points?
a. Variance
b. Range
c. Standard deviation
d. All of these measures would always change if one score was changed.
Measure of Dispersion:
The variance, range and standard deviation are all measure of dispersion. The variance and the standard deviation are related as the standard deviation is the square root of the variance. The range is based on the maximum and the minimum observation of a data set.
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answer:
•Variability is most commonly measured with the following descriptive statistics: Range: the difference between the highest and lowest values. Interquartile range: the range of the middle half of a distribution. Standard deviation: average distance from the mean.
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Question:
Which measure of variability could remain unchanged if one score in the sample decreased by 10 points?
a. Variance
b. Range
c. Standard deviation
d. All of these measures would always change if one score was changed.
Measure of Dispersion:
The variance, range and standard deviation are all measure of dispersion. The variance and the standard deviation are related as the standard deviation is the square root of the variance. The range is based on the maximum and the minimum observation of a data set.
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