SOLUTION: Find the Interquartile rage (IQR) for the following data set: 6, 7, 12, 13, 14, 18, 20, 48

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Question 1125708: Find the Interquartile rage (IQR) for the following data set:
6, 7, 12, 13, 14, 18, 20, 48
Answer by MathLover1(20849) About Me  (Show Source):
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InterQuartile Range (IQR) = Third Quartile - First Quartile
Let us consider the following numbers: 6, 7, 12, 13, 14,+18, 20,+48


Step 1:
Q1=9.5 ( is the middle value in the first half of the data set:%287%2B12%29%2F2=9.5 )
Step 2:
Q3= 19 (is the middle value in the second half of the data set:%2818%2B20%29%2F2=19 )
Step 3:
Sum of all the numbers divided by total number of values
Median+=+%286%2B7%2B12%2B13%2B14%2B18%2B+20%2B+48%29%2F+8=+13.5
Step 4:
The interquartile range is Q3+-+Q1, so IQR+=+19-+9.5=+9.5