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Question
a histogram is shown. based on the shape of the data distribution, what is the best measure of center, and what is the best measure of variability? mean and interquartile range mean and range median and interquartile range median and range
The data distribution is skewed (as seen from the histogram). For skewed data, the median is a better measure of center than the mean (since the mean is affected by outliers in skewed data). The inter - quartile range is a better measure of variability than the range (the range is affected by extreme values, while the inter - quartile range focuses on the middle 50% of the data).
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Median and interquartile range