Q1 = 7 and Q3 = 16.īack to Top Find an interquartile range for an odd set of numbers: Alternate MethodĪs you may already know, nothing is “set in stone” in statistics: when some statisticians find an interquartile range for a set of odd numbers, they include the median in both both quartiles. Q1 is the median (the middle) of the lower half of the data, and Q3 is the median (the middle) of the upper half of the data. Step 3: Place parentheses around the numbers above and below the mark you made in Step 2–it makes Q1 and Q3 easier to spot.Step 2: Make a mark in the center of the data:.Like the explanation? Check out the Practically Cheating Statistics Handbook, which has hundreds more step-by-step explanations, just like this one! What if I Have an Even Set of Numbers?Įxample question: Find the IQR for the following data set: 3, 5, 7, 8, 9, 11, 15, 16, 20, 21. Step 5: Subtract Q1 from Q3 to find the interquartile range.Think of Q1 as a median in the lower half of the data and think of Q3 as a median for the upper half of data. Not necessary statistically, but it makes Q1 and Q3 easier to spot. Step 3: Place parentheses around the numbers above and below the median.What is an Interquartile Range used for?.What is the Interquartile Range Formula?.Box Plot interquartile range: How to find it.Find an interquartile range for an odd set of numbers: Second Method.Solve the formula by hand (odd set of numbers).
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