For the data set: 1, 2, 3, 4, 5, what is the interquartile range?
Practice Questions
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For the data set: 1, 2, 3, 4, 5, what is the interquartile range?
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Questions & Step-by-Step Solutions
For the data set: 1, 2, 3, 4, 5, what is the interquartile range?
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.
Interquartile Range (IQR) – The interquartile range is a measure of statistical dispersion, calculated as the difference between the third quartile (Q3) and the first quartile (Q1) of a data set.
Quartiles – Quartiles are values that divide a data set into four equal parts, with Q1 being the median of the first half and Q3 being the median of the second half.
