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Summary: Considered a sample with data values of 10, 20, 12, 17, and 16, the range is 10 and interquartile Range is 7.5.
We can find the interquartile range or IQR in four simple steps: Order the data from least to greatest. Find the median. Calculate the median of both the lower and upper half of the data. The IQR is the difference between the upper and lower medians.
The interquartile range (IQR) of the provided data set is calculated to be 13.5. This is determined by finding the first quartile (Q1) and third quartile (Q3) and subtracting Q1 from Q3. Therefore, the correct answer is A. 13.5.
The interquartile range (IQR) for the data set [3, 4, 3, 3, 5, 5, 9, 6, 9] is calculated to be 3. This is obtained by finding the first quartile (Q1) and the third quartile (Q3) and subtracting Q1 from Q3. The values are Q1 = 3 and Q3 = 6, leading to IQR = 6 - 3 = 3.
The interquartile range (IQR) of the numbers 9, 28, 16, 2, 33, 6, and 10 is 22. The IQR is found by calculating the difference between the third quartile (Q3) and the first quartile (Q1). In this example, Q1 is 6 and Q3 is 28, leading to an IQR of 22.
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