Review of Median Example 1: Find the median of the data set {3, 7, 8, 5, 12, 14, 21, 13, 18}


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Examples

Five-Number Summary


Example 1: Find the range and interquartile range of the set {3, 7, 8, 5, 12, 14, 21, 13, 18}.
First, we write the data in increasing order: 3, 5, 7, 8, 12, 13, 14, 18, 21.
range = max – min = 21 – 3 = 18.
Recall from the previous page that Q1 = 6 and Q3 = 16.
Therefore, the interquartile range = Q3 – Q1 = 16 – 6 = 10.
The range is 18 and the interquartile range is 10.
Example 2: Find the range and interquartile range of the set {3, 7, 8, 5, 12, 14, 21, 15, 18, 14}.
First, we write the data in increasing order: 3, 5, 7, 8, 12, 14, 14, 15, 18, 21.
range = max – min = 21 – 3 = 18.
Recall from the previous page that Q1 = 7 and Q3 = 15.
Therefore, the interquartile range = Q3 – Q1 = 15 – 7 = 8.
The range is 18 and the interquartile range is 8.
Example 1:  Find the five-number summary for the data set {3, 7, 8, 5, 12, 14, 21, 13, 18}.
From our Example 1's on the previous pages, we see that the five-number summary is:
Minimum: 3 Q1 : 6 Median: 12 Q3 : 16 Maximum: 21
Example 2: Find the five-number summary for the data set {3, 7, 8, 5, 12, 14, 21, 15, 18, 14}.
From our Example 2's on the previous pages, we see that the five-number summary is:Minimum: 3 Q1 : 7 Median: 13 Q3 : 15 Maximum: 21

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