The dataset [1,2,3,4,5,6,7,8,9,10] has Q1 = 3 and Q3 = 8. What is the interquartile range (IQR)?

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Multiple Choice

The dataset [1,2,3,4,5,6,7,8,9,10] has Q1 = 3 and Q3 = 8. What is the interquartile range (IQR)?

Explanation:
The interquartile range tells you how spread out the middle half of the data is. It’s found by subtracting the first quartile from the third quartile. Here, the values are Q1 = 3 and Q3 = 8, so the IQR is 8 − 3 = 5. This means the central 50% of the data lies over a span of 5 units, from 3 up to 8. The other numbers lie outside this central band, but the IQR focuses on that middle portion. So the correct value is 5 because it’s simply the distance between the 25th and 75th percentiles.

The interquartile range tells you how spread out the middle half of the data is. It’s found by subtracting the first quartile from the third quartile. Here, the values are Q1 = 3 and Q3 = 8, so the IQR is 8 − 3 = 5. This means the central 50% of the data lies over a span of 5 units, from 3 up to 8. The other numbers lie outside this central band, but the IQR focuses on that middle portion. So the correct value is 5 because it’s simply the distance between the 25th and 75th percentiles.

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