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These grade 6 interquartile range worksheets are made for Grade 6 learners, with four difficulty levels so you can match the practice to the child.

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Grade 6 Interquartile range Worksheets

Grade 6 practice: Find the spread of the middle half of an ordered data set. Choose a level below to generate a fresh set of questions.

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Understanding interquartile range

The interquartile range (IQR) measures the spread of the middle half of a data set. After ordering the values, the first quartile (Q1) is the median of the lower half and the third quartile (Q3) the median of the upper half; the IQR is Q3 minus Q1. These worksheets ask the learner to find the IQR, a spread measure that ignores extreme outliers.

For example, for 2, 4, 6, 8, 10, 12, 14, 16 the median splits it between 8 and 10; Q1 is 5 (median of 2, 4, 6, 8) and Q3 is 13, so the IQR is 13 − 5 = 8. A common mistake is using the smallest and largest values, which gives the full range, not the IQR. Tip: order the data and find the overall median first, then take the median of each half; the IQR uses only those quartiles, never the extremes.

Sample interquartile range questions

These examples come from the Easy setting. Generate a worksheet for a complete page with space for working.

Find the interquartile range of: 13, 17, 21, 25, 33, 37, 41, 45.
Find the interquartile range of: 13, 19, 25, 31, 43, 49, 55, 61.
Find the interquartile range of: 17, 22, 27, 32, 42, 47, 52, 57.
Find the interquartile range of: 20, 22, 24, 26, 30, 32, 34, 36.

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Practice focus

Find the spread of the middle half of an ordered data set. Show each step and check the answer.

Grade 6 Interquartile range Worksheets

Understanding interquartile range

Sample interquartile range questions

Practice focus

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