A dataset of the number of books read by students in a month is given as follows: 3, 5, 7, 9, 11, 13, 15, 17, 19. Calculate the Interquartile Range (IQR) for this dataset. The IQR is ________.
Answer & Analysis
Analysis
Question Analysis
This question requires the student to calculate the Interquartile Range (IQR) for a given dataset. The dataset is already sorted, and the student needs to find the first quartile (Q1) and the third quartile (Q3) to compute the IQR.
Key Concept Explanation
The Interquartile Range (IQR) is a measure of the spread of the middle 50% of the data. It is calculated as IQR = Q3 - Q1, where Q1 is the lower quartile and Q3 is the upper quartile.
Step-by-step Solution
1. Identify the first quartile (Q1): The median of the first half of the data (3, 5, 7, 9) is 6.
2. Identify the third qu...
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