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GRE
GRE Quantitative Reasoning Section

Interquartile Range Calculation Challenge

Very Hard Data Analysis Descriptive Statistics

In a recent study, the daily water consumption (in liters) of 50 households was recorded, yielding the following data set: 2, 3, 3, 4, 5, 5, 6, 7, 8, 8, 9, 10, 10, 10, 11, 11, 12, 13, 14, 14, 15, 16, 17, 18, 19, 19, 20, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 30, 31, 32, 33, 34, 35, 36, 36, 37, 38, 40, 50.

Based on this dataset, you are tasked with calculating the following statistics: the median, the first quartile (Q1), and the third quartile (Q3). Additionally, determine which of the following options represents the correct value of the interquartile range (IQR), defined as $IQR = Q3 - Q1$.

Hint

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