Question
In the data set below, what is the interquartile range?
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Ask by Guerrero Norris. in the United States
Dec 18,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
The interquartile range is 2.
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Mind Expander
To find the interquartile range (IQR), you first need to identify the first quartile (Q1) and the third quartile (Q3). For your data set:
- Arrange your data in ascending order (which it already is):
. - With 11 data points, the median (or Q2) is the 6th value, which is 6.
- For Q1, look at the lower half:
. The median here is 5. - For Q3, look at the upper half:
. The median here is 7.
Now, calculate IQR:
So, the interquartile range is 2!
