What are the more appropriate measures of center and spread for this data set?Select two choices: one for the center and one for the spread.A.Better measure of spread: the standard deviationB.Better measure of center: the medianC.Better measure of center: the meanD.Better measure of spread: the interquartile range (IQR)SUBMITarrow_backPREVIOUS
Question
What are the more appropriate measures of center and spread for this data set?Select two choices: one for the center and one for the spread.A.Better measure of spread: the standard deviationB.Better measure of center: the medianC.Better measure of center: the meanD.Better measure of spread: the interquartile range (IQR)SUBMITarrow_backPREVIOUS
Solution
Without knowing the specific characteristics of the data set, it's impossible to definitively choose the most appropriate measures of center and spread. However, I can provide some general guidance.
The mean (C) is a good measure of center when the data is symmetric and doesn't have outliers, as it takes into account all values in the data set. The median (B) is a better choice when the data is skewed or has outliers, as it represents the middle value of the data set and is not affected by extreme values.
The standard deviation (A) is a good measure of spread when the data is symmetric and doesn't have outliers, as it measures the average distance of each data point from the mean. The interquartile range (D) is a better choice when the data is skewed or has outliers, as it measures the range within which the middle 50% of values fall and is not affected by extreme values.
So, if your data set is symmetric and doesn't have outliers, the mean and standard deviation would be appropriate measures. If your data set is skewed or has outliers, the median and interquartile range would be appropriate measures.
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