Write the correct letter for the correct answer in the blank at the right of each
question.
For Exercises 1 and 2 use the following set of data:
2, 3, 3, 4, 5, 7, 8, 8, 8, 10, 10, and 12.
1. What are the third and first quartiles of the data?
A. 12,2
B. 8, 4.5 C. 10,3
D. 9,3.5
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Step-by-step explanation:
Example: 5, 7, 4, 4, 6, 2, 8
Put them in order: 2, 4, 4, 5, 6, 7, 8
Cut the list into quarters
:
Quartiles of 2, 4, 4, 5, 6, 7, 8
And the result is:
Quartile 1 (Q1) = 4
Quartile 2 (Q2), which is also the Median, = 5
Quartile 3 (Q3) = 7
Sometimes a "cut" is between two numbers ... the Quartile is the average of the two numbers.
Example: 1, 3, 3, 4, 5, 6, 6, 7, 8, 8
The numbers are already in order
Cut the list into quarters:
Quartiles
In this case Quartile 2 is half way between 5 and 6:
Q2 = (5+6)/2 = 5.5
And the result is:
Quartile 1 (Q1) =
Quartile 2 (Q2) = 5.5
Quartile 3 (Q3) = 7
Interquartile Range
The "Interquartile Range" is from Q1 to Q3:
Interquartile Range
To calculate it just subtract Quartile 1 from Quartile 3, like this:
Example:
Quartiles of 2, 4, 4, 5, 6, 7, 8
The Interquartile Range is:
Q3 − Q1 = 7 − 4 = 3
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