SOLUTION: Consider a set of data: 5, 4, 3, 5, 5, 4, 3, 2, 1, 0, 5, 4, 5, 3, 2. What is the interquartile range of the above data?

Algebra ->  Probability-and-statistics -> SOLUTION: Consider a set of data: 5, 4, 3, 5, 5, 4, 3, 2, 1, 0, 5, 4, 5, 3, 2. What is the interquartile range of the above data?      Log On


   



Question 1198238: Consider a set of data: 5, 4, 3, 5, 5, 4, 3, 2, 1, 0, 5, 4, 5, 3, 2.
What is the interquartile range of the above data?

Answer by MathLover1(20850) About Me  (Show Source):
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given:
to calculate Quartiles
5, 4, 3, 5, 5, 4, 3, 2, 1, 0, 5, 4, 5, 3, 2
1.Order your data set from lowest to highest values
0, 1, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5
2.Find the median. This is the second quartile Q2.
0, 1, 2, 2, 3, 3, 3, |4|, 4, 4, 5, 5, 5, 5, 5
Q2=4
3.At Q2 split the ordered data set into two halves.
0, 1, 2, 2, 3, 3, 3, |4|, 4, 4, 5, 5, 5, 5, 5
4.The lower quartile Q1 is the median of the lower half of the data.
0, 1, 2, 2, 3, 3, 3
Q1=2
The upper quartile Q3+is the median of the upper half of the data.
4, 4, 5,+5, 5, 5, 5
Q3=5
IQR+=+Q3+-+Q1
IQR+=+5+-2
IQR+=+3