In the data set below, what is the interquartile range? 1 1 4
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To find the interquartile range (IQR) of the data set which consists of the numbers 1, 1, and 4, first, we need to arrange the data in ascending order. In this case, it's already ordered: 1, 1, 4. The lower quartile (Q1) is the median of the first half of the data, which is 1 (since there's no middle value). The upper quartile (Q3) is the median of the second half, which is 4. Thus, the IQR is Q3 - Q1 = 4 - 1 = 3. To ensure clarity in future calculations, always remember to sort your data first before finding the quartiles! This simple step can save you from potential mistakes and confusion down the road when dealing with larger data sets. Always double-check your medians, especially in small datasets where it's easy to miscount!