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For the data set: 1, 2, 3, 4, 5, what is the interquartile range?
For the data set: 1, 2, 3, 4, 5, what is the interquartile range?
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Practice Questions
1 question
Q1
For the data set: 1, 2, 3, 4, 5, what is the interquartile range?
1
2
3
4
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Q1 = 2, Q3 = 4; Interquartile Range = Q3 - Q1 = 4 - 2 = 2.
Questions & Step-by-step Solutions
1 item
Q
Q: For the data set: 1, 2, 3, 4, 5, what is the interquartile range?
Solution:
Q1 = 2, Q3 = 4; Interquartile Range = Q3 - Q1 = 4 - 2 = 2.
Steps: 8
Show Steps
Step 1: Arrange the data set in order (it is already ordered): 1, 2, 3, 4, 5.
Step 2: Find the median (Q2) of the data set. The median is the middle number, which is 3.
Step 3: Divide the data set into two halves: Lower half: 1, 2; Upper half: 4, 5.
Step 4: Find Q1 (the median of the lower half). The lower half is 1, 2, so Q1 is 2.
Step 5: Find Q3 (the median of the upper half). The upper half is 4, 5, so Q3 is 4.
Step 6: Calculate the interquartile range (IQR) using the formula: IQR = Q3 - Q1.
Step 7: Substitute the values: IQR = 4 - 2.
Step 8: Calculate the result: IQR = 2.
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