How to find the interquartile range for a set of data - AP Statistics

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Question

Find the Interquartile Range (IQR) for the following data.

Q1 = 2, Q3 = 6

IQR = Q3 - Q1 = 4

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Answer

The Interquartile Range equation is Q3-Q1

First, make sure the data is in ascending order. Then split the data up so that it each quartile has 25% of the data, or think of it as splitting the data into 4 equal parts.

  • is the "middle" value in the first half of the rank-ordered data set.
  • is the median value in the overall set.
  • is the "middle" value in the second half of the rank-ordered data set.

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