The IQR equals which of the following?

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Multiple Choice

The IQR equals which of the following?

Explanation:
The IQR measures the spread of the middle 50% of the data. It is calculated as the difference between the third and first quartiles: Q3 minus Q1. This distance shows how wide the central portion of the distribution is and is the height of the box in a boxplot, giving a robust sense of spread that isn’t swayed by extreme values. The other expressions don’t represent a spread: Q1 minus Q3 would be negative since Q3 is larger than Q1; Q3 divided by Q1 is a ratio, not a spread; and Q3 plus Q1 is a sum with no interpretation as variability. So the IQR is Q3 minus Q1.

The IQR measures the spread of the middle 50% of the data. It is calculated as the difference between the third and first quartiles: Q3 minus Q1. This distance shows how wide the central portion of the distribution is and is the height of the box in a boxplot, giving a robust sense of spread that isn’t swayed by extreme values. The other expressions don’t represent a spread: Q1 minus Q3 would be negative since Q3 is larger than Q1; Q3 divided by Q1 is a ratio, not a spread; and Q3 plus Q1 is a sum with no interpretation as variability. So the IQR is Q3 minus Q1.

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