For a skewed dataset, we say that the data does not vary much if: a. (Q3 - Q1) / Median is less than or equal to 0.5 b. (Q3 - Q1) / Median is greater than 0.5 c. The standard deviation divided by the mean is greater than 0.5 d. The standard deviation divided by the mean is less than or equal to 0.5
Mathematics · High School · Thu Feb 04 2021
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For a skewed dataset, we say that the data does not vary much if (Q3 - Q1) / Median is less than or equal to 0.5.
This choice is typically based on the concept of the interquartile range (IQR) in relation to the median. The IQR, calculated as Q3 – Q1, is the range within which the middle 50% of the data points lie. When the IQR is small relative to the median, this implies that the data is not very spread out, thus there’s less variability around the central tendency of the data, which in this case is represented by the median.
Hence, the correct answer based on the given options would be: a. (Q3 - Q1) / Median is less than or equal to 0.5