What is the interquartile range (IQR) of the data set: 1, 2, 3, 4, 5, 6, 7, 8, 9
Practice Questions
Q1
What is the interquartile range (IQR) of the data set: 1, 2, 3, 4, 5, 6, 7, 8, 9?
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Questions & Step-by-Step Solutions
What is the interquartile range (IQR) of the data set: 1, 2, 3, 4, 5, 6, 7, 8, 9?
Step 1: Write down the data set: 1, 2, 3, 4, 5, 6, 7, 8, 9.
Step 2: Arrange the data in ascending order (it's already arranged).
Step 3: Find the median of the data set. The median is the middle number. For 9 numbers, the median is the 5th number, which is 5.
Step 4: Divide the data set into two halves. The lower half is 1, 2, 3, 4 (numbers before the median) and the upper half is 6, 7, 8, 9 (numbers after the median).
Step 5: Find Q1 (the first quartile) which is the median of the lower half (1, 2, 3, 4). The median of this set is 2.5.
Step 6: Find Q3 (the third quartile) which is the median of the upper half (6, 7, 8, 9). The median of this set is 7.5.
Step 7: Calculate the interquartile range (IQR) using the formula IQR = Q3 - Q1.
